. What behaviors indicate psychological distress? Name 5 and explain.

. What behaviors indicate psychological distress? Name 5 and explain.

The term ‘distress’ is commonly used in nursing literature to … Read More...
ECON 101 FALL 2015 EXAM 1 NAME:______________________________ 1. Suppose the price elasticity of demand for cheeseburgers equals 1.37. This means the overall demand for cheeseburgers is: A) price elastic. B) price inelastic. C) price unit-elastic. D) perfectly price inelastic. 2. The price elasticity of demand for skiing lessons in New Hampshire is less than 1.00. This means that the demand is ______ in New Hampshire. A) price elastic B) price inelastic C) price unit-elastic D) perfectly price elastic 3. If the demand for textbooks is price inelastic, which of the following would explain this? A) Many alternative textbooks can be used as substitutes. B) Students have a lot of time to adjust to price changes. C) Textbook purchases consume a large portion of most students’ income. D) The good is a necessity. 4. A major state university in the South recently raised tuition by 12%. An economics professor at this university asked his students, “Due to the increase in tuition, how many of you will transfer to another university?” One student out of about 300 said that he or she would transfer. Based on this information, the price elasticity of demand for education at this university is: (Hint: one out of 300 is how much of a percentage change? Which percentage change is greater – tuition or transfer? Apply the basic formula for elasticity that I put on the board a few times.) A) one. B) highly elastic. C) highly inelastic. D) zero. 5. Suppose the price elasticity of demand for fishing lures equals 1 in South Carolina and 0.63 in Alabama. To increase revenue, fishing lure manufacturers should: (Hint: If the demand for a product is inelastic, the price can go up and you’ll still buy it, since there are no or few substitutes. If the demand for a product is elastic, the price can go up and you’ll probably walk away from it, since substitutes are available. How might this info impact the pricing strategies of firms?) A) lower prices in each state. B) raise prices in each state. C) lower prices in South Carolina and raise prices in Alabama. D) leave prices unchanged in South Carolina and raise prices in Alabama. Read your syllabus and answer questions 6 through 10: 6. T or F: Disruptive classroom behavior includes the following: chatting with fellow students, use of electronic devices such as laptops, tablets, notebooks, and cell phones, reading or studying during class, sleeping, arriving late, departing early, studying for another class, or in any other way disturbing the class. 7. T or F: It’s OK to use my computer in class or play with my phone. There is no penalty attached to these activities and Keiser doesn’t really mind. 8. T or F: It’s OK to show up late for class and disrupt one of Keiser’s swashbuckling lectures. 9. T or F: Attendance is highly optional since it doesn’t impact my final course grade. 10. T or F: I should blow off the career plan/business plan assignment in this course because it’s unimportant to my future and not worth many points. 11. Jacquelyn is a student at a major state university. Which of the following is not an example of an explicit, or direct, cost of her attending college? A) Tuition B) Textbooks C) the salary that she could have earned working full time D) computer lab fees 12. The two principles of tax fairness are: A) the minimize distortions principle and the maximize revenue principle. B) the benefits principle and the ability-to-pay principle. C) the proportional tax principle and the ability-to-pay principle. D) the equity principle and the efficiency principle. 13. The benefits principles says: A) the amount of tax paid depends on the measure of value. B) those who benefit from public spending should bear the burden of the tax that pays for that spending. C) those with greater ability to pay should pay more tax. D) those who benefit from the tax should pay the same percentage of the tax base as those who do not benefit. 14. A tax that rises less than in proportion to income is described as: (Hint: This would have more of a negative impact on lower income earners vs. higher income earners.) A) progressive. B) proportional. C) regressive. D) structural. 15. The U.S. income tax is _______, while the payroll tax is _______. (Hint: Think income tax vs. Social Security tax.) A) progressive; progressive C) regressive; progressive B) progressive; regressive D) regressive; regressive 16. Who is currently leading in the polls to receive the Republican nomination as that party’s presidential candidate? A) Qasem Soleimani B) Abu Bakr al-Baghdadi C) Osama bin Laden D) Donald J. Trump 17. The single most important thing I’ve learned in class this term is: A) stay in frickin’ school B) stay in school and make a plan for life and my career C) the use of cheese for skyscraper construction D) both A and B above 18. Market equilibrium occurs when: A) there is no incentive for prices to change in the market. B) quantity demanded equals quantity supplied. C) the market clears. D) all of the above occur. 19. Excess supply occurs when: (Hint: Draw a supply and demand graph! Think about price ceilings and floors and the graphs of these we discussed in class.) A) the price is above the equilibrium price. B) the quantity demanded exceeds the quantity supplied. C) the price is below the equilibrium price. D) both b and c occur. 20. The single most important thing I’ve learned in class this term is: a. stay in school and look into either a study abroad or internship experience b. stay in school and make a plan for life and my career c. the untimely demise of Cecil the lion in Zimbabwe d. both a. and b. above 21. According to the textbook definition, mainstream microeconomics generally focuses on a. how individual decision-making units, like households and firms, make economic decisions. b. the performance of the national economy and policies to improve this performance. c. the relationship between economic and political institutions. d. the general level of prices in the national economy. 22. Which of the following is the best summary of the three basic economic questions? a. Who? Why? and When? b. What? How? and Who? c. When? Where? and Why? d. What? Where? and Who? 23. Which of the following is not one of the basic economic resources? a. land b. labor c. capital d. cheese e. entrepreneurship 24. The largest country in the Arabian Peninsula and home to the cities of Riyadh, Jeddah, Mecca, and Medina is: a. The Kingdom of Saudi Arabia b. California c. Spain d. Kentucky 25. T or F: The law of demand explains the upward slope of the supply curve. 26. In economics, a “marginal” value refers to: a. the value associated with an important or marginal activity. b. a value entered as an explanatory item in the margin of a balance sheet or other accounts. c. the value associated with one more unit of an activity. d. a value that is most appropriately identified in a footnote. 27. A government mandated price that is below the market equilibrium price is sometimes called. . . (Hint: Draw a graph again and think about what the government is trying to accomplish.) a. a price ceiling. b. a price floor. c. a market clearing price. d. a reservation price. 28. T or F: Entering the US job market without any education or training is crazy and should be avoided. Stay in frickin’ school, baby! 29. The law of demand states that, other things equal: a. as the price increases, the quantity demanded will increase. b. as the price decreases, the demand curve will shift to the right. c. as the price increases, the quantity demanded will decrease. d. none of the above. 30. The law of supply says: a. other things equal, the quantity supplied of a good is inversely related to the price of the good. b. other things equal, the supply of a good creates its own demand. c. other things equal, the quantity supplied of a good is positively related to the price of the good. d. none of the above. 31. A perfectly inelastic demand curve is: a. horizontal. b. downward sloping. c. upward sloping. d. vertical. 32. A trade-off involves weighing costs and benefits. a. true b. false 33. A perfectly elastic demand curve is: a. horizontal. b. downward sloping. c. upward sloping. d. vertical. 34. The second most important thing I’ve learned in class this term is: a. despair is not an option b. Donald J. Trump’s hair is real c. the use of cheese for skyscraper construction d. none of the above 35. T or F: Virtually any news item has important economic dimensions and consequences. 36. T or F: When studying economics, always think in terms of historical context. 37. This popular Asian country is populated by 1.3 billion people, has the world’s second largest economy, and uses a language that’s been in continuous use for nearly 5,000 years: a. Kentucky b. California c. Spain d. China 38. T or F: The top priority in my life right now should be my education and an internship experience. Without these, the job market is going to kick my butt! 39. Which of the following is a key side effect generated by the use of price ceilings? a. black markets b. products with too high of quality c. an excess supply of a good d. too many resources artificially channeled into the production of a good 40. Which of the following is NOT one of the four basic principles for understanding individual choice? a. Resources are scarce. b. The real cost of something is the money that you must pay to get it. c. “How much?” is a decision at the margin. d. People usually take advantage of opportunities to make themselves better off. 41. A hot mixture of pan drippings, flour, and water is commonly known as: a. interest rates and expected future real GDP. b. interest rates and current real GDP. c. inflation and expected future real GDP. d. gravy. 42. The example we used in class when discussing the inefficiency of quantity quotas was: a. Uber b. General Electric c. AT&T d. the KSU marching band 43. The term we learned in class signifying a key method of non-price competition is: a. excess supply chain management b. arbitrage c. swashbuckling d. product differentiation 44. When discussing market failure and the role of regulation in class, which company/product did we use as an example? a. Pabst Blue Ribbon b. JetBlue c. Blue Bell d. Blue Apron 45. Governments may place relatively high sales taxes on goods such as alcohol and tobacco because: a. such taxes are a significant source of revenue b. such goods exhibit inelastic demand c. such taxes may discourage use of these products d. all of the above 46. When discussing the cost of higher education in class, which country did we cite as an example of one that offers free college for qualifying students? a. USSR b. Rhodesia c. Czechoslovakia d. Germany 47. Which of the following is not an example of market failure we discussed in class? a. externalities b. public goods c. fungible goods d. common pool resources e. equity 48. T or F: As we discussed in class, the real reason why the US has lost jobs to China is the “most favored nation” (MFN) trading status granted to China by the US back in the 1980s. 49. The dude we talked about in class who coined the expression “invisible hand” and promoted self-interest and competition in his famous book “The Wealth of Nations” is: a. Abu Bakr al-Baghdadi b. Ali Khamenei c. Donald J. Trump d. Adam Smith 50. When studying for your final exams and attempting to allocate your limited time among several subjects in order to maximize your course grades (recall, we talked about this example during the first week of class), you’re almost unconsciously engaging in a form of: a. fraud b. miscellaneous serendipity b. mitosis d. marginal analysis

ECON 101 FALL 2015 EXAM 1 NAME:______________________________ 1. Suppose the price elasticity of demand for cheeseburgers equals 1.37. This means the overall demand for cheeseburgers is: A) price elastic. B) price inelastic. C) price unit-elastic. D) perfectly price inelastic. 2. The price elasticity of demand for skiing lessons in New Hampshire is less than 1.00. This means that the demand is ______ in New Hampshire. A) price elastic B) price inelastic C) price unit-elastic D) perfectly price elastic 3. If the demand for textbooks is price inelastic, which of the following would explain this? A) Many alternative textbooks can be used as substitutes. B) Students have a lot of time to adjust to price changes. C) Textbook purchases consume a large portion of most students’ income. D) The good is a necessity. 4. A major state university in the South recently raised tuition by 12%. An economics professor at this university asked his students, “Due to the increase in tuition, how many of you will transfer to another university?” One student out of about 300 said that he or she would transfer. Based on this information, the price elasticity of demand for education at this university is: (Hint: one out of 300 is how much of a percentage change? Which percentage change is greater – tuition or transfer? Apply the basic formula for elasticity that I put on the board a few times.) A) one. B) highly elastic. C) highly inelastic. D) zero. 5. Suppose the price elasticity of demand for fishing lures equals 1 in South Carolina and 0.63 in Alabama. To increase revenue, fishing lure manufacturers should: (Hint: If the demand for a product is inelastic, the price can go up and you’ll still buy it, since there are no or few substitutes. If the demand for a product is elastic, the price can go up and you’ll probably walk away from it, since substitutes are available. How might this info impact the pricing strategies of firms?) A) lower prices in each state. B) raise prices in each state. C) lower prices in South Carolina and raise prices in Alabama. D) leave prices unchanged in South Carolina and raise prices in Alabama. Read your syllabus and answer questions 6 through 10: 6. T or F: Disruptive classroom behavior includes the following: chatting with fellow students, use of electronic devices such as laptops, tablets, notebooks, and cell phones, reading or studying during class, sleeping, arriving late, departing early, studying for another class, or in any other way disturbing the class. 7. T or F: It’s OK to use my computer in class or play with my phone. There is no penalty attached to these activities and Keiser doesn’t really mind. 8. T or F: It’s OK to show up late for class and disrupt one of Keiser’s swashbuckling lectures. 9. T or F: Attendance is highly optional since it doesn’t impact my final course grade. 10. T or F: I should blow off the career plan/business plan assignment in this course because it’s unimportant to my future and not worth many points. 11. Jacquelyn is a student at a major state university. Which of the following is not an example of an explicit, or direct, cost of her attending college? A) Tuition B) Textbooks C) the salary that she could have earned working full time D) computer lab fees 12. The two principles of tax fairness are: A) the minimize distortions principle and the maximize revenue principle. B) the benefits principle and the ability-to-pay principle. C) the proportional tax principle and the ability-to-pay principle. D) the equity principle and the efficiency principle. 13. The benefits principles says: A) the amount of tax paid depends on the measure of value. B) those who benefit from public spending should bear the burden of the tax that pays for that spending. C) those with greater ability to pay should pay more tax. D) those who benefit from the tax should pay the same percentage of the tax base as those who do not benefit. 14. A tax that rises less than in proportion to income is described as: (Hint: This would have more of a negative impact on lower income earners vs. higher income earners.) A) progressive. B) proportional. C) regressive. D) structural. 15. The U.S. income tax is _______, while the payroll tax is _______. (Hint: Think income tax vs. Social Security tax.) A) progressive; progressive C) regressive; progressive B) progressive; regressive D) regressive; regressive 16. Who is currently leading in the polls to receive the Republican nomination as that party’s presidential candidate? A) Qasem Soleimani B) Abu Bakr al-Baghdadi C) Osama bin Laden D) Donald J. Trump 17. The single most important thing I’ve learned in class this term is: A) stay in frickin’ school B) stay in school and make a plan for life and my career C) the use of cheese for skyscraper construction D) both A and B above 18. Market equilibrium occurs when: A) there is no incentive for prices to change in the market. B) quantity demanded equals quantity supplied. C) the market clears. D) all of the above occur. 19. Excess supply occurs when: (Hint: Draw a supply and demand graph! Think about price ceilings and floors and the graphs of these we discussed in class.) A) the price is above the equilibrium price. B) the quantity demanded exceeds the quantity supplied. C) the price is below the equilibrium price. D) both b and c occur. 20. The single most important thing I’ve learned in class this term is: a. stay in school and look into either a study abroad or internship experience b. stay in school and make a plan for life and my career c. the untimely demise of Cecil the lion in Zimbabwe d. both a. and b. above 21. According to the textbook definition, mainstream microeconomics generally focuses on a. how individual decision-making units, like households and firms, make economic decisions. b. the performance of the national economy and policies to improve this performance. c. the relationship between economic and political institutions. d. the general level of prices in the national economy. 22. Which of the following is the best summary of the three basic economic questions? a. Who? Why? and When? b. What? How? and Who? c. When? Where? and Why? d. What? Where? and Who? 23. Which of the following is not one of the basic economic resources? a. land b. labor c. capital d. cheese e. entrepreneurship 24. The largest country in the Arabian Peninsula and home to the cities of Riyadh, Jeddah, Mecca, and Medina is: a. The Kingdom of Saudi Arabia b. California c. Spain d. Kentucky 25. T or F: The law of demand explains the upward slope of the supply curve. 26. In economics, a “marginal” value refers to: a. the value associated with an important or marginal activity. b. a value entered as an explanatory item in the margin of a balance sheet or other accounts. c. the value associated with one more unit of an activity. d. a value that is most appropriately identified in a footnote. 27. A government mandated price that is below the market equilibrium price is sometimes called. . . (Hint: Draw a graph again and think about what the government is trying to accomplish.) a. a price ceiling. b. a price floor. c. a market clearing price. d. a reservation price. 28. T or F: Entering the US job market without any education or training is crazy and should be avoided. Stay in frickin’ school, baby! 29. The law of demand states that, other things equal: a. as the price increases, the quantity demanded will increase. b. as the price decreases, the demand curve will shift to the right. c. as the price increases, the quantity demanded will decrease. d. none of the above. 30. The law of supply says: a. other things equal, the quantity supplied of a good is inversely related to the price of the good. b. other things equal, the supply of a good creates its own demand. c. other things equal, the quantity supplied of a good is positively related to the price of the good. d. none of the above. 31. A perfectly inelastic demand curve is: a. horizontal. b. downward sloping. c. upward sloping. d. vertical. 32. A trade-off involves weighing costs and benefits. a. true b. false 33. A perfectly elastic demand curve is: a. horizontal. b. downward sloping. c. upward sloping. d. vertical. 34. The second most important thing I’ve learned in class this term is: a. despair is not an option b. Donald J. Trump’s hair is real c. the use of cheese for skyscraper construction d. none of the above 35. T or F: Virtually any news item has important economic dimensions and consequences. 36. T or F: When studying economics, always think in terms of historical context. 37. This popular Asian country is populated by 1.3 billion people, has the world’s second largest economy, and uses a language that’s been in continuous use for nearly 5,000 years: a. Kentucky b. California c. Spain d. China 38. T or F: The top priority in my life right now should be my education and an internship experience. Without these, the job market is going to kick my butt! 39. Which of the following is a key side effect generated by the use of price ceilings? a. black markets b. products with too high of quality c. an excess supply of a good d. too many resources artificially channeled into the production of a good 40. Which of the following is NOT one of the four basic principles for understanding individual choice? a. Resources are scarce. b. The real cost of something is the money that you must pay to get it. c. “How much?” is a decision at the margin. d. People usually take advantage of opportunities to make themselves better off. 41. A hot mixture of pan drippings, flour, and water is commonly known as: a. interest rates and expected future real GDP. b. interest rates and current real GDP. c. inflation and expected future real GDP. d. gravy. 42. The example we used in class when discussing the inefficiency of quantity quotas was: a. Uber b. General Electric c. AT&T d. the KSU marching band 43. The term we learned in class signifying a key method of non-price competition is: a. excess supply chain management b. arbitrage c. swashbuckling d. product differentiation 44. When discussing market failure and the role of regulation in class, which company/product did we use as an example? a. Pabst Blue Ribbon b. JetBlue c. Blue Bell d. Blue Apron 45. Governments may place relatively high sales taxes on goods such as alcohol and tobacco because: a. such taxes are a significant source of revenue b. such goods exhibit inelastic demand c. such taxes may discourage use of these products d. all of the above 46. When discussing the cost of higher education in class, which country did we cite as an example of one that offers free college for qualifying students? a. USSR b. Rhodesia c. Czechoslovakia d. Germany 47. Which of the following is not an example of market failure we discussed in class? a. externalities b. public goods c. fungible goods d. common pool resources e. equity 48. T or F: As we discussed in class, the real reason why the US has lost jobs to China is the “most favored nation” (MFN) trading status granted to China by the US back in the 1980s. 49. The dude we talked about in class who coined the expression “invisible hand” and promoted self-interest and competition in his famous book “The Wealth of Nations” is: a. Abu Bakr al-Baghdadi b. Ali Khamenei c. Donald J. Trump d. Adam Smith 50. When studying for your final exams and attempting to allocate your limited time among several subjects in order to maximize your course grades (recall, we talked about this example during the first week of class), you’re almost unconsciously engaging in a form of: a. fraud b. miscellaneous serendipity b. mitosis d. marginal analysis

info@checkyourstudy.com
One reason that research on Type A Personality was so popular for so long may be because research on it was funded by ________. the government the alcohol industry the pharmaceutical industry the tobacco industry

One reason that research on Type A Personality was so popular for so long may be because research on it was funded by ________. the government the alcohol industry the pharmaceutical industry the tobacco industry

One reason that research on Type A Personality was so … Read More...
Which of the following are stored in the lysosomes of the cell? digestive enzymes glycoproteins being prepared for secretion from the cell material to make ribosomes enzymes for detoxifying harmful compounds such as alcohol chlorophyll for photosynthesis

Which of the following are stored in the lysosomes of the cell? digestive enzymes glycoproteins being prepared for secretion from the cell material to make ribosomes enzymes for detoxifying harmful compounds such as alcohol chlorophyll for photosynthesis

Which of the following are stored in the lysosomes of … Read More...
Critical Thinking: How much stress is too much? The level of stress a person can experience before it does harm to the human body remains an important question. In a study of medical students, many working between 70-80 hours per week, nearly half suffered from extremely high levels of stress. In general, the more hours worked, the greater the level of stress experienced by the student. Higher levels of stress often corresponded with unhealthy coping strategies, including drug and alcohol abuse (Kasi et al., 2007) In addition, the study found that the students’ stress level also put their patients at risk. Stressed residents were more likely to make errors and to compromise patient care (Pitt et al., 2004).

Critical Thinking: How much stress is too much? The level of stress a person can experience before it does harm to the human body remains an important question. In a study of medical students, many working between 70-80 hours per week, nearly half suffered from extremely high levels of stress. In general, the more hours worked, the greater the level of stress experienced by the student. Higher levels of stress often corresponded with unhealthy coping strategies, including drug and alcohol abuse (Kasi et al., 2007) In addition, the study found that the students’ stress level also put their patients at risk. Stressed residents were more likely to make errors and to compromise patient care (Pitt et al., 2004).

info@checkyourstudy.com
Statistical Methods (STAT 4303) Review for Final Comprehensive Exam Measures of Central Tendency, Dispersion Q.1. The data below represents the test scores obtained by students in college algebra class. 10,12,15,20,13,16,14 Calculate (a) Mean (b) Median (c) Mode (d) Variance, s2 (e) Coefficient of variation (CV) Q.2. The data below represents the test scores obtained by students in English class. 12,15,16,18,13,10,17,20 Calculate (a) Mean (b) Median (c) Mode (d) Variance, s2 (e) Coefficient of variation (CV) (f) Compare the results of Q.1 and Q.2, Which scores College Algebra or English do you think is more precise (less spread)? Q.3 Following data represents the score obtained by students in one of the exams 9, 13, 14, 15, 16, 16, 17, 19, 20, 21, 21, 22, 25, 25, 26 Create a frequency table to calculate the following descriptive statistics (a) mean (b) median (c) mode (d) first and third quartiles (e) Construct Box and Whisker plot. (f) Comment on the shape of the distribution. (g) Find inter quartile range (IQR). (h) Are there any outliers (based on IQR technique)? In the above problem, if the score 26 is replaced by 37 (i) What will happen to the mean? Will it increase, decrease or remains the same? (j) What will be the new median? (k) What can you say about the effect of outliers on mean and median? Q.4 Following data represents the score obtained by students in one of the exams 19, 14, 14, 15, 17, 16, 17, 20, 20, 21, 21, 22, 25, 25, 26, 27, 28 Create a frequency table to calculate the following descriptive statistics a) mean b) median c) mode d) first and third quartiles e) Construct Box and Whisker plot. f) Comment on the shape of the distribution. g) Find inter quartile range (IQR). h) Are there any outliers (based on IQR technique)? In the above problem, if the score 28 is replaced by 48 i) What will happen to the mean? Will it increase, decrease or remains the same? j) What will be the new median? k) What can you say about the effect of outliers on mean and median? Q.5 Consider the following data of height (in inch) and weight(in lbs). Height(x) Frequency 50 2 52 3 55 2 60 4 62 3  Find the mean height.  What is the variance of height? Also, find the standard deviation. (c) Find the coefficient of variation (CV). Q.6. The following table shows the number of miles run during one week for a sample of 20 runners: Miles Mid-value (x) Frequency (f) 5.5-10.5 1 10.5-15.5 2 15.5-20.5 3 20.5-25.5 5 25.5-30.5 4 (a) Find the average (mean) miles run. (Hint: Find mid-value of mile range first) (b) What is the variance of miles run? Also, find the standard deviation. (c) Find the coefficient of variation (CV). Q.7. (a) If the mean of 20 observations is 20.5, find the sum of all observations? (b) If the mean of 30 observations is 40, find the sum of all observations? Probability Q.8 Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. a) How many students are in both classes? b) What is the probability that a randomly-chosen student from this group is taking only the Chemistry class? Q.9 A drawer contains 4 red balls, 5 green balls, and 5 blue balls. One ball is taken from the drawer and then replaced. Another ball is taken from the drawer. What is the probability that (Draw tree diagram to facilitate your calculation). (a) both balls are red (b) first ball is red (c) both balls are of same colors (d) both balls are of different colors (e) first ball is red and second ball is blue (f) first ball is red or blue Q.10 A drawer contains 3 red balls, 5 green balls, and 5 blue balls. One ball is taken from the drawer and not replaced. Another ball is then taken from the drawer. Draw tree diagram to facilitate your calculation. What is the probability that (a) both balls are red (b) first ball is red (c) both balls are of same colors (d) both balls are of different colors (e) first ball is red and second ball is blue (f) first ball is red or blue Q. 11 Missile A has 45% chance of hitting target. Missile B has 55% chance of hitting a target. What is the probability that (i) both miss the target. (ii) at least one will hit the target. (iii) exactly one will hit the target. Q. 12 A politician from D party speaks truth 65% of times; another politician from rival party speaks truth 75% of times. Both politicians were asked about their personal love affair with their own office secretary, what is the probability that (i) both lie the actual fact . (ii) at least one will speak truth. (iii) exactly one speaks the truth. (iv) both speak the truth. Q.13 The question, “Do you drink alcohol?” was asked to 220 people. Results are shown in the table. . Yes No Total Male 48 82 Female 24 66 Total (a) What is the probability of a randomly selected individual being a male also drinks? (b) What is the probability of a randomly selected individual being a female? (c) What is the probability that a randomly selected individual drinks? (d) A person is selected at random and if the person is female, what is the probability that she drinks? (e) What is the probability that a randomly selected alcoholic person is a male? Q.14 A professor, Dr. Drakula, taught courses that included statements from across the five colleges abbreviated as AH, AS, BA, ED and EN. He taught at Texas A&M University – Kingsville (TAMUK) during the span of five academic years AY09 to AY13. The following table shows the total number of graduates during AY09 to AY13. One day, he was running late to his class. He was so focused on the class that he did not stop for a red light. As soon as he crossed through the intersection, a police officer Asked him to stop. ( a ) It is turned out that the police officer was TAMUK graduate during the past five years. What is the probability that the Police Officer was from ED College? ( b ) What is the probability that the Police Officer graduated in the academic year of 2011? ( c ) If the traffic officer graduated from TAMUK in the academic year of 2011(AY11). What is the conditional probability that he graduated from the ED college? ( d ) Are the events the academic year “AY 11” and the college of Education “ED” independent? Yes or no , why? Discrete Distribution Q.15 Find k and probability for X=2 and X=4. X 1 2 3 4 5 P(X=x) 0.1 3k 0.2 2k 0.2 (Hint: First find k, and then plug in) Also, calculate the expected value of X, E(X) and variance V(X). A game plan is derived based on above table, a player wins $5 if he can blindly choose 3 and loses $1 if he chooses other numbers.What is his expected win or loss per game? If he plays this game for 20 times, what is total win or lose? Q.16 Find k. X 3 4 5 6 7 P(X=x) k 2k 2k k 2k (Hint: First find k, and then plug in) Also, calculate the expected value of X, E(X) and variance V(X). A game plan is derived based on above table, a player wins $5 if he can blindly choose 3 and loses $1 if he chooses other numbers. What is his expected win or loss per game? If he plays this game for 20 times, what is total win or lose? Binomial Distribution: Q.17 (a) Hospital records show that of patients suffering from a certain disease, 75% die of it. What is the probability that of 6 randomly selected patients, 4 will recover? (b) A (blindfolded) marksman finds that on the average he hits the target 4 times out of 5. If he fires 4 shots, what is the probability of (i) more than 2 hits? (ii) at least 3 misses? (c) which of the following are binomial experiments? Explain the reason. i. Telephone surveying a group of 200 people to ask if they voted for George Bush. ii. Counting the average number of dogs seen at a veterinarian’s office daily. iii. You take a survey of 50 traffic lights in a certain city, at 3 p.m., recording whether the light was red, green, or yellow at that time. iv. You are at a fair, playing “pop the balloon” with 6 darts. There are 20 balloons. 10 of the balloons have a ticket inside that say “win,” and 10 have a ticket that says “lose.” Normal Distribution Q.18 Use standard normal distribution table to find the following probabilities: (a) P(Z<2.5) (b) P(Z< -1.3) (c) P(Z>0.12) (d) P(Z> -2.15) (e) P(0.11<Z<0.22) (f) P(-0.11<Z<0.5) Q.19. Use normal distribution table to find the missing values (?). (a) P(Z< ?)=0.40 (b) P(Z< ?)=0.76 (c) P(Z> ?)=0.87 (d) P(Z> ?)=0.34 Q.20. The length of life of certain type of light bulb is normally distributed with mean=220hrs and standard deviation=20hrs. (a) Define a random variable, X A light bulb is randomly selected, what is the probability that (b) it will last will last more than 207 hrs. ? (c) it will last less than 214 hrs. (d) it will last in between 199 to 207 hrs. Q.21. The length of life of an instrument produced by a machine has a normal distribution with a mean of 22 months and standard deviation of 4 months. Find the probability that an instrument produced by this machine will last (a) less than 10 months. (b) more than 28 months (c) between 10 and 28 months. Distribution of sample mean and Central Limit Theorem (CLT) Q.22 It is assumed that weight of teenage student is normally distributed with mean=140 lbs. and standard deviation =15 lbs. A simple random sample of 40 teenage students is taken and sample mean is calculated. If several such samples of same size are taken (i) what could be the mean of all sample means. (ii) what could be the standard deviation of all sample means. (iii) will the distribution of sample means be normal ? (iv) What is CLT? Write down the distribution of sample mean in the form of ~ ( , ) 2 n X N   . Q.23 The time it takes students in a cooking school to learn to prepare seafood gumbo is a random variable with a normal distribution where the average is 3.2 hours and a standard deviation of 1.8 hours. A sample of 40 students was investigated. What is the distribution of sample mean (express in numbers)? Hypothesis Testing Q.24 The NCHS reported that the mean total cholesterol level in 2002 for all adults was 203 with standard deviation of 37. Total cholesterol levels in participants who attended the seventh examination of the Offspring in the Framingham Heart Study are summarized as follows: n=3,00, =200.3. Is there statistical evidence of a difference in mean cholesterol levels in the Framingham Offspring (means does the result form current examination differs from 2002 report)?? (Follow the steps below to reach the conclusion) (i) Define null and alternate hypothesis (Also write what is  , and x in words at the beginning) (ii) Identify the significance level ,  and check whether it is one sided or two sided test. (iii) Calculate test statistics, Z. (iv) Use standard normal table to find the p-value and state whether you reject or accept (fail to reject) the null hypothesis. (v) what is the critical value, do you reject or accept the H0. (vi) Write down the conclusion based on part (iv). Q.25 A sample of 145 boxes of Kellogg’s Raisin Bran contain in average 1.95 scoops of raisins. It is known from past experiments that the standard deviation for the number of scoops of raisins is 0.25. The manufacturer of Kellogg’s Raisin Bran claimed that in average their product contains more than 2 scoops of raisins, do you reject or accept the manufacturers claim (follow all five steps)? Q.26 It is assumed that the mean systolic blood pressure is μ = 120 mm Hg. In the Honolulu Heart Study, a sample of n = 100 people had an average systolic blood pressure of 130.1 mm Hg. The standard deviation from the population is 21.21 mm Hg. Is the group significantly different (with respect to systolic blood pressure!) from the regular population? Use 10% level of significance. Q.27 A CEO claims that at least 80 percent of the company’s 1,000,000 customers are very satisfied. Again, 100 customers are surveyed using simple random sampling. The result: 73 percent are very satisfied. Based on these results, should we accept or reject the CEO’s hypothesis? Assume a significance level of 0.05. Q.28 True/False questions (These questions are collected from previous HW, review and exam problems, see the previous solutions for answers) (a) Total sum of probability can exceed 1. (b) If you throw a die, getting 2 or any even number are independent events. (c) If you roll a die for 20 times, the probability of getting 5 in 15th roll is 20 15 . (d) A student is taking a 5 question True-False quiz but he has not been doing any work in the course and does not know the material so he randomly guesses at all the answers. Probability that he gets the first question right is 2 1 . (e) Typing in laptop and writing emails using the same laptop are independent events. (f) Normal distribution is right skewed. (g) Mean is more robust to outliers. So mean is used for data with extreme values. (h) It is possible to have no mode in the data. (i) Standard normal variable, Z has some unit. (j) Only two parameters are required to describe the entire normal distribution. (k) Mean of standard normal variable, Z is 1. (l) If p-value of more than level of significance (alpha), we reject the H0. (m) Very small p-value indicates rejection of H0. (n) H0 always contains equality sign. (o) CLT indicates that distribution of sample mean can be anything, not just normal. (p) Sample mean is always equal to population mean. (q) Variance of sample mean is less than population mean. (r) Variance of sample mean does not depend on sample size. (s) Mr. A has cancer but a medical doctor diagnosed him as “no cancer”. It is a type I error. (t) Level of significance is probability of making type II error. (u) Type II error can be controlled. (v) Type I error is more serious than type II error. (w) Type I and Type II errors are based on null hypothesis. Q.29 Type I and Type II Errors : Make statements about Type I (False Positive) and Type II errors (False Negative). (a) The Alpha-Fetoprotein (AFP) Test has both Type I and Type II error possibilities. This test screens the mother’s blood during pregnancy for AFP and determines risk. Abnormally high or low levels may indicate Down syndrome. (Hint: Take actual status as down syndrome or not) Ho: patient is healthy Ha: patient is unhealthy (b) The mechanic inspects the brake pads for the minimum allowable thickness. Ho: Vehicles breaks meet the standard for the minimum allowable thickness. Ha: Vehicles brakes do not meet the standard for the minimum allowable thickness. (c) Celiac disease is one of the diseases which can be misdiagnosed or have less diagnosis. Following table shows the actual celiac patients and their diagnosis status by medical doctors: Actual Status Yes No Diagnosed as celiac Yes 85 5 No 25 105 I. Calculate the probability of making type I and type II error rates. II. Calculate the power of the test. (Power of the test= 1- P(type II error) Answers: USEFUL FORMULAE: Descriptive Statistics Possible Outliers, any value beyond the range of Q 1.5( ) and Q 1.5( ) Range = Maximum value -Minimum value 100 where 1 ( ) (Preferred) 1 and , n fx x For data with repeats, 1 ( ) (Preferred ) OR 1 and n x x For data without repeats, 1 3 1 3 3 1 2 2 2 2 2 2 2 2 2 2 Q Q Q Q x s CV n f n f x x OR s n fx nx s n x x s n x nx s                             Discrete Distribution         ( ) ( ) ( ) ( ) { ( )} ( ) ( ) 2 2 2 2 E X x P X x V X E X E X E X xP X x Binomial Distribution Probability mass function, P(X=x)= x n x n x C p q  for x=0,1,2,…,n. E(X)=np, Var(X)=npq Hypothesis Testing based on Normal Distribution      X std X mean Z Standard Normal Variable, Probability Bayes Rule, ( ) ( and ) ( ) ( ) ( | ) P B P A B P B P A B P A B    Central Limit Theorem For large n (n>30), ~ ( , ) 2 n X N   and ˆ ~ ( , ) n pq p N p For hypothesis testing of μ, σ known           n x Z   For hypothesis testing of p n pq p p Z   ˆ ANSWERS: Q.1 (a) 14.286 (b) 14 (c) none (d) 10.24 (e) 22.40 Q.2 (a) 15.125 (b) 15.5 (c) No (d) 10.98 (e) 21.9 (f) English Q.3 (a) 18.6 (b)19 (c) 16, 21, and 25 (d) 15, 22 (f) slightly left (g) 7 (h) no outliers (i) increase (j) same Q.4 (a) 0.41 (b) 20 (c)14, 17, 20, 21,25 (d) 16.5, 25 (f) slightly right (g) 8.5 (h) no (i) increase (j) same Q.5 (a)56.57 (b) 22.26 (c) 8.34 Q.6 (a) 21 (b) 38.57 (c) 29.57 Q.7 (a) 410 (b) 1200 Q.8 (a)3 (b) 0.65 Q.9 (a) 0.082 (b) 0.29 (c)0.34 (d) 0.66 (e)0.10 (f) 0.64 Q.10 (a) 0.038 (b)0.23 (c) 0.71 (d) 0.29 (e)0.096 (f) 0.62 Q.11 (i)0.248 (ii)0.752 (iii)0.505 Q.12 (i)0.0875 (ii)0.913 (iii)0.425 (iii)0.488 Q.13 (a)0.22 (b)0.41 (c)0.33 (d)0.27 (e) 0.67 Q.14 (a) 0.13 (b) 0.18 (c)0.12 Q.15 E(X)=3.1 , V(X)=1.69, $0.2 per game, $ 4 win. Q.16 E(X)=5.125, V(X)=1.86, $0.25 loss per game, $5 loss. Q.17 (a)0.201 (b) 0.819, 0.027 Q.18 (a)0.9938 (b)0.0968 (c)0.452 (d)0.984 (e) 0.0433 (f)0.2353 Q.19 (a) -0.25 (b)0.71 (c) -1.13 (d)0.41 Q.20 (b) 0.7422 (c) 0.3821 (d) 0.1109 Q.21 (a)0.0014 (b) 0.0668 (c) 0.9318 Q.22 (a) 140 (b)2.37 Q.24 Z=-1.26, Accept null. Q.25 Z=-2.41, accept null Q.26 Z=4.76, reject H0 Q.27 Z=-1.75, reject H0 Q.28 F, F, F, T , F, F, F, T, F, T, F, F, T, T, F, F, T, F, T, F, F, T, T Q.29 (c)0.113 , 0.022 , 0.977 (or 98%)

Statistical Methods (STAT 4303) Review for Final Comprehensive Exam Measures of Central Tendency, Dispersion Q.1. The data below represents the test scores obtained by students in college algebra class. 10,12,15,20,13,16,14 Calculate (a) Mean (b) Median (c) Mode (d) Variance, s2 (e) Coefficient of variation (CV) Q.2. The data below represents the test scores obtained by students in English class. 12,15,16,18,13,10,17,20 Calculate (a) Mean (b) Median (c) Mode (d) Variance, s2 (e) Coefficient of variation (CV) (f) Compare the results of Q.1 and Q.2, Which scores College Algebra or English do you think is more precise (less spread)? Q.3 Following data represents the score obtained by students in one of the exams 9, 13, 14, 15, 16, 16, 17, 19, 20, 21, 21, 22, 25, 25, 26 Create a frequency table to calculate the following descriptive statistics (a) mean (b) median (c) mode (d) first and third quartiles (e) Construct Box and Whisker plot. (f) Comment on the shape of the distribution. (g) Find inter quartile range (IQR). (h) Are there any outliers (based on IQR technique)? In the above problem, if the score 26 is replaced by 37 (i) What will happen to the mean? Will it increase, decrease or remains the same? (j) What will be the new median? (k) What can you say about the effect of outliers on mean and median? Q.4 Following data represents the score obtained by students in one of the exams 19, 14, 14, 15, 17, 16, 17, 20, 20, 21, 21, 22, 25, 25, 26, 27, 28 Create a frequency table to calculate the following descriptive statistics a) mean b) median c) mode d) first and third quartiles e) Construct Box and Whisker plot. f) Comment on the shape of the distribution. g) Find inter quartile range (IQR). h) Are there any outliers (based on IQR technique)? In the above problem, if the score 28 is replaced by 48 i) What will happen to the mean? Will it increase, decrease or remains the same? j) What will be the new median? k) What can you say about the effect of outliers on mean and median? Q.5 Consider the following data of height (in inch) and weight(in lbs). Height(x) Frequency 50 2 52 3 55 2 60 4 62 3  Find the mean height.  What is the variance of height? Also, find the standard deviation. (c) Find the coefficient of variation (CV). Q.6. The following table shows the number of miles run during one week for a sample of 20 runners: Miles Mid-value (x) Frequency (f) 5.5-10.5 1 10.5-15.5 2 15.5-20.5 3 20.5-25.5 5 25.5-30.5 4 (a) Find the average (mean) miles run. (Hint: Find mid-value of mile range first) (b) What is the variance of miles run? Also, find the standard deviation. (c) Find the coefficient of variation (CV). Q.7. (a) If the mean of 20 observations is 20.5, find the sum of all observations? (b) If the mean of 30 observations is 40, find the sum of all observations? Probability Q.8 Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. a) How many students are in both classes? b) What is the probability that a randomly-chosen student from this group is taking only the Chemistry class? Q.9 A drawer contains 4 red balls, 5 green balls, and 5 blue balls. One ball is taken from the drawer and then replaced. Another ball is taken from the drawer. What is the probability that (Draw tree diagram to facilitate your calculation). (a) both balls are red (b) first ball is red (c) both balls are of same colors (d) both balls are of different colors (e) first ball is red and second ball is blue (f) first ball is red or blue Q.10 A drawer contains 3 red balls, 5 green balls, and 5 blue balls. One ball is taken from the drawer and not replaced. Another ball is then taken from the drawer. Draw tree diagram to facilitate your calculation. What is the probability that (a) both balls are red (b) first ball is red (c) both balls are of same colors (d) both balls are of different colors (e) first ball is red and second ball is blue (f) first ball is red or blue Q. 11 Missile A has 45% chance of hitting target. Missile B has 55% chance of hitting a target. What is the probability that (i) both miss the target. (ii) at least one will hit the target. (iii) exactly one will hit the target. Q. 12 A politician from D party speaks truth 65% of times; another politician from rival party speaks truth 75% of times. Both politicians were asked about their personal love affair with their own office secretary, what is the probability that (i) both lie the actual fact . (ii) at least one will speak truth. (iii) exactly one speaks the truth. (iv) both speak the truth. Q.13 The question, “Do you drink alcohol?” was asked to 220 people. Results are shown in the table. . Yes No Total Male 48 82 Female 24 66 Total (a) What is the probability of a randomly selected individual being a male also drinks? (b) What is the probability of a randomly selected individual being a female? (c) What is the probability that a randomly selected individual drinks? (d) A person is selected at random and if the person is female, what is the probability that she drinks? (e) What is the probability that a randomly selected alcoholic person is a male? Q.14 A professor, Dr. Drakula, taught courses that included statements from across the five colleges abbreviated as AH, AS, BA, ED and EN. He taught at Texas A&M University – Kingsville (TAMUK) during the span of five academic years AY09 to AY13. The following table shows the total number of graduates during AY09 to AY13. One day, he was running late to his class. He was so focused on the class that he did not stop for a red light. As soon as he crossed through the intersection, a police officer Asked him to stop. ( a ) It is turned out that the police officer was TAMUK graduate during the past five years. What is the probability that the Police Officer was from ED College? ( b ) What is the probability that the Police Officer graduated in the academic year of 2011? ( c ) If the traffic officer graduated from TAMUK in the academic year of 2011(AY11). What is the conditional probability that he graduated from the ED college? ( d ) Are the events the academic year “AY 11” and the college of Education “ED” independent? Yes or no , why? Discrete Distribution Q.15 Find k and probability for X=2 and X=4. X 1 2 3 4 5 P(X=x) 0.1 3k 0.2 2k 0.2 (Hint: First find k, and then plug in) Also, calculate the expected value of X, E(X) and variance V(X). A game plan is derived based on above table, a player wins $5 if he can blindly choose 3 and loses $1 if he chooses other numbers.What is his expected win or loss per game? If he plays this game for 20 times, what is total win or lose? Q.16 Find k. X 3 4 5 6 7 P(X=x) k 2k 2k k 2k (Hint: First find k, and then plug in) Also, calculate the expected value of X, E(X) and variance V(X). A game plan is derived based on above table, a player wins $5 if he can blindly choose 3 and loses $1 if he chooses other numbers. What is his expected win or loss per game? If he plays this game for 20 times, what is total win or lose? Binomial Distribution: Q.17 (a) Hospital records show that of patients suffering from a certain disease, 75% die of it. What is the probability that of 6 randomly selected patients, 4 will recover? (b) A (blindfolded) marksman finds that on the average he hits the target 4 times out of 5. If he fires 4 shots, what is the probability of (i) more than 2 hits? (ii) at least 3 misses? (c) which of the following are binomial experiments? Explain the reason. i. Telephone surveying a group of 200 people to ask if they voted for George Bush. ii. Counting the average number of dogs seen at a veterinarian’s office daily. iii. You take a survey of 50 traffic lights in a certain city, at 3 p.m., recording whether the light was red, green, or yellow at that time. iv. You are at a fair, playing “pop the balloon” with 6 darts. There are 20 balloons. 10 of the balloons have a ticket inside that say “win,” and 10 have a ticket that says “lose.” Normal Distribution Q.18 Use standard normal distribution table to find the following probabilities: (a) P(Z<2.5) (b) P(Z< -1.3) (c) P(Z>0.12) (d) P(Z> -2.15) (e) P(0.11 ?)=0.87 (d) P(Z> ?)=0.34 Q.20. The length of life of certain type of light bulb is normally distributed with mean=220hrs and standard deviation=20hrs. (a) Define a random variable, X A light bulb is randomly selected, what is the probability that (b) it will last will last more than 207 hrs. ? (c) it will last less than 214 hrs. (d) it will last in between 199 to 207 hrs. Q.21. The length of life of an instrument produced by a machine has a normal distribution with a mean of 22 months and standard deviation of 4 months. Find the probability that an instrument produced by this machine will last (a) less than 10 months. (b) more than 28 months (c) between 10 and 28 months. Distribution of sample mean and Central Limit Theorem (CLT) Q.22 It is assumed that weight of teenage student is normally distributed with mean=140 lbs. and standard deviation =15 lbs. A simple random sample of 40 teenage students is taken and sample mean is calculated. If several such samples of same size are taken (i) what could be the mean of all sample means. (ii) what could be the standard deviation of all sample means. (iii) will the distribution of sample means be normal ? (iv) What is CLT? Write down the distribution of sample mean in the form of ~ ( , ) 2 n X N   . Q.23 The time it takes students in a cooking school to learn to prepare seafood gumbo is a random variable with a normal distribution where the average is 3.2 hours and a standard deviation of 1.8 hours. A sample of 40 students was investigated. What is the distribution of sample mean (express in numbers)? Hypothesis Testing Q.24 The NCHS reported that the mean total cholesterol level in 2002 for all adults was 203 with standard deviation of 37. Total cholesterol levels in participants who attended the seventh examination of the Offspring in the Framingham Heart Study are summarized as follows: n=3,00, =200.3. Is there statistical evidence of a difference in mean cholesterol levels in the Framingham Offspring (means does the result form current examination differs from 2002 report)?? (Follow the steps below to reach the conclusion) (i) Define null and alternate hypothesis (Also write what is  , and x in words at the beginning) (ii) Identify the significance level ,  and check whether it is one sided or two sided test. (iii) Calculate test statistics, Z. (iv) Use standard normal table to find the p-value and state whether you reject or accept (fail to reject) the null hypothesis. (v) what is the critical value, do you reject or accept the H0. (vi) Write down the conclusion based on part (iv). Q.25 A sample of 145 boxes of Kellogg’s Raisin Bran contain in average 1.95 scoops of raisins. It is known from past experiments that the standard deviation for the number of scoops of raisins is 0.25. The manufacturer of Kellogg’s Raisin Bran claimed that in average their product contains more than 2 scoops of raisins, do you reject or accept the manufacturers claim (follow all five steps)? Q.26 It is assumed that the mean systolic blood pressure is μ = 120 mm Hg. In the Honolulu Heart Study, a sample of n = 100 people had an average systolic blood pressure of 130.1 mm Hg. The standard deviation from the population is 21.21 mm Hg. Is the group significantly different (with respect to systolic blood pressure!) from the regular population? Use 10% level of significance. Q.27 A CEO claims that at least 80 percent of the company’s 1,000,000 customers are very satisfied. Again, 100 customers are surveyed using simple random sampling. The result: 73 percent are very satisfied. Based on these results, should we accept or reject the CEO’s hypothesis? Assume a significance level of 0.05. Q.28 True/False questions (These questions are collected from previous HW, review and exam problems, see the previous solutions for answers) (a) Total sum of probability can exceed 1. (b) If you throw a die, getting 2 or any even number are independent events. (c) If you roll a die for 20 times, the probability of getting 5 in 15th roll is 20 15 . (d) A student is taking a 5 question True-False quiz but he has not been doing any work in the course and does not know the material so he randomly guesses at all the answers. Probability that he gets the first question right is 2 1 . (e) Typing in laptop and writing emails using the same laptop are independent events. (f) Normal distribution is right skewed. (g) Mean is more robust to outliers. So mean is used for data with extreme values. (h) It is possible to have no mode in the data. (i) Standard normal variable, Z has some unit. (j) Only two parameters are required to describe the entire normal distribution. (k) Mean of standard normal variable, Z is 1. (l) If p-value of more than level of significance (alpha), we reject the H0. (m) Very small p-value indicates rejection of H0. (n) H0 always contains equality sign. (o) CLT indicates that distribution of sample mean can be anything, not just normal. (p) Sample mean is always equal to population mean. (q) Variance of sample mean is less than population mean. (r) Variance of sample mean does not depend on sample size. (s) Mr. A has cancer but a medical doctor diagnosed him as “no cancer”. It is a type I error. (t) Level of significance is probability of making type II error. (u) Type II error can be controlled. (v) Type I error is more serious than type II error. (w) Type I and Type II errors are based on null hypothesis. Q.29 Type I and Type II Errors : Make statements about Type I (False Positive) and Type II errors (False Negative). (a) The Alpha-Fetoprotein (AFP) Test has both Type I and Type II error possibilities. This test screens the mother’s blood during pregnancy for AFP and determines risk. Abnormally high or low levels may indicate Down syndrome. (Hint: Take actual status as down syndrome or not) Ho: patient is healthy Ha: patient is unhealthy (b) The mechanic inspects the brake pads for the minimum allowable thickness. Ho: Vehicles breaks meet the standard for the minimum allowable thickness. Ha: Vehicles brakes do not meet the standard for the minimum allowable thickness. (c) Celiac disease is one of the diseases which can be misdiagnosed or have less diagnosis. Following table shows the actual celiac patients and their diagnosis status by medical doctors: Actual Status Yes No Diagnosed as celiac Yes 85 5 No 25 105 I. Calculate the probability of making type I and type II error rates. II. Calculate the power of the test. (Power of the test= 1- P(type II error) Answers: USEFUL FORMULAE: Descriptive Statistics Possible Outliers, any value beyond the range of Q 1.5( ) and Q 1.5( ) Range = Maximum value -Minimum value 100 where 1 ( ) (Preferred) 1 and , n fx x For data with repeats, 1 ( ) (Preferred ) OR 1 and n x x For data without repeats, 1 3 1 3 3 1 2 2 2 2 2 2 2 2 2 2 Q Q Q Q x s CV n f n f x x OR s n fx nx s n x x s n x nx s                             Discrete Distribution         ( ) ( ) ( ) ( ) { ( )} ( ) ( ) 2 2 2 2 E X x P X x V X E X E X E X xP X x Binomial Distribution Probability mass function, P(X=x)= x n x n x C p q  for x=0,1,2,…,n. E(X)=np, Var(X)=npq Hypothesis Testing based on Normal Distribution      X std X mean Z Standard Normal Variable, Probability Bayes Rule, ( ) ( and ) ( ) ( ) ( | ) P B P A B P B P A B P A B    Central Limit Theorem For large n (n>30), ~ ( , ) 2 n X N   and ˆ ~ ( , ) n pq p N p For hypothesis testing of μ, σ known           n x Z   For hypothesis testing of p n pq p p Z   ˆ ANSWERS: Q.1 (a) 14.286 (b) 14 (c) none (d) 10.24 (e) 22.40 Q.2 (a) 15.125 (b) 15.5 (c) No (d) 10.98 (e) 21.9 (f) English Q.3 (a) 18.6 (b)19 (c) 16, 21, and 25 (d) 15, 22 (f) slightly left (g) 7 (h) no outliers (i) increase (j) same Q.4 (a) 0.41 (b) 20 (c)14, 17, 20, 21,25 (d) 16.5, 25 (f) slightly right (g) 8.5 (h) no (i) increase (j) same Q.5 (a)56.57 (b) 22.26 (c) 8.34 Q.6 (a) 21 (b) 38.57 (c) 29.57 Q.7 (a) 410 (b) 1200 Q.8 (a)3 (b) 0.65 Q.9 (a) 0.082 (b) 0.29 (c)0.34 (d) 0.66 (e)0.10 (f) 0.64 Q.10 (a) 0.038 (b)0.23 (c) 0.71 (d) 0.29 (e)0.096 (f) 0.62 Q.11 (i)0.248 (ii)0.752 (iii)0.505 Q.12 (i)0.0875 (ii)0.913 (iii)0.425 (iii)0.488 Q.13 (a)0.22 (b)0.41 (c)0.33 (d)0.27 (e) 0.67 Q.14 (a) 0.13 (b) 0.18 (c)0.12 Q.15 E(X)=3.1 , V(X)=1.69, $0.2 per game, $ 4 win. Q.16 E(X)=5.125, V(X)=1.86, $0.25 loss per game, $5 loss. Q.17 (a)0.201 (b) 0.819, 0.027 Q.18 (a)0.9938 (b)0.0968 (c)0.452 (d)0.984 (e) 0.0433 (f)0.2353 Q.19 (a) -0.25 (b)0.71 (c) -1.13 (d)0.41 Q.20 (b) 0.7422 (c) 0.3821 (d) 0.1109 Q.21 (a)0.0014 (b) 0.0668 (c) 0.9318 Q.22 (a) 140 (b)2.37 Q.24 Z=-1.26, Accept null. Q.25 Z=-2.41, accept null Q.26 Z=4.76, reject H0 Q.27 Z=-1.75, reject H0 Q.28 F, F, F, T , F, F, F, T, F, T, F, F, T, T, F, F, T, F, T, F, F, T, T Q.29 (c)0.113 , 0.022 , 0.977 (or 98%)

No expert has answered this question yet. You can browse … Read More...
One reason that research on Type A Personality was so popular for so long may be because research on it was funded by ________. the government the alcohol industry the pharmaceutical industry the tobacco industry

One reason that research on Type A Personality was so popular for so long may be because research on it was funded by ________. the government the alcohol industry the pharmaceutical industry the tobacco industry

One reason that research on Type A Personality was so … Read More...