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AP Statistics Jeopardy

AP Statistics Jeopardy. Normally Random. Biometric Regression. Relational Design. Probability Signif. Tests. Sample Tests. Anything Inferred. 100. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 400.

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AP Statistics Jeopardy

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  1. AP Statistics Jeopardy Normally Random Biometric Regression Relational Design Probability Signif. Tests Sample Tests Anything Inferred 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500 600 600 600 600 600 600 Final Jeopardy

  2. Normally Random - 100 In a population of students, the number of calculators owned is a random variable X with P(X = 0) = 0.2, P(X = 1) = 0.6, and P(X = 2) = 0.2. The mean of this probability distribution is (a) 0. (b) 2. (c) 1. (d) 0.5. (e) The answer cannot be computed from the information given. Answer

  3. Normally Random - 200 In a population of students, the number of calculators owned is a random variable X with P(X = 0) = 0.2, P(X = 1) = 0.6, and P(X = 2) = 0.2. The variance of this probability distribution is (a) 1. (b) 0.63. (c) 0.5. (d) 0.4. (e) The answer cannot be computed from the information given. Answer

  4. Normally Random - 300 A smooth curve which approximates the shape of a histogram and describes the overall pattern of a distribution is called (a) a stemplot (b) a Normal probability plot (c) a destiny curve (d) a density curve (e) none of the above Answer

  5. Normally Random - 400 The following graph is a Normal probability plot for the amount of rainfall (in acre-feet) obtained from 26 randomly selected clouds that were seeded with silver oxide. Which of the following statements about the shape of the rainfall distribution is true? (a) The distribution is Normal. (b) The distribution is approximately Normal. (c) The distribution is roughly symmetric. (d) The distribution has no potential outliers. (e) The distribution is skewed. Answer

  6. Normally Random - 500 • The distribution of the heights of students in a large class is roughly Normal. Moreover, the average height is 68 inches, and approximately 95% of the heights are between 62 and 74 inches. Thus, the standard deviation of the height distribution is approximately equal to • 2 (b) 3 (c) 6 • (d) 9 (e) 12 Answer

  7. Normally Random - 600 If a store runs out of advertised material during a sale, customers become upset, and the store loses not only the sale but also goodwill. From past experience, a music store finds that the mean number of CDs sold in a sale is 845, the variance is 225, and a histogram of the demand is approximately Normal. The manager is willing to accept a 2.5% chance that a CD will be sold out. About how many CDs should the manager order for an upcoming sale? (a) 1295 (b) 1070 (c) 935 (d) 875 (e) 860 Answer

  8. Normally Random - 100 Answer In a population of students, the number of calculators owned is a random variable X with P(X = 0) = 0.2, P(X = 1) = 0.6, and P(X = 2) = 0.2. The mean of this probability distribution is (a) 0. (b) 2. (c) 1. (d) 0.5. (e) The answer cannot be computed from the information given.

  9. Normally Random - 200 Answer In a population of students, the number of calculators owned is a random variable X with P(X = 0) = 0.2, P(X = 1) = 0.6, and P(X = 2) = 0.2. The variance of this probability distribution is (a) 1. (b) 0.63. (c) 0.5. (d) 0.4. (e) The answer cannot be computed from the information given.

  10. Normally Random - 300 Answer A smooth curve which approximates the shape of a histogram and describes the overall pattern of a distribution is called (a) a stemplot (b) a Normal probability plot (c) a destiny curve (d) a density curve (e) none of the above

  11. Normally Random - 400 Answer The following graph is a Normal probability plot for the amount of rainfall (in acre-feet) obtained from 26 randomly selected clouds that were seeded with silver oxide. Which of the following statements about the shape of the rainfall distribution is true? (a) The distribution is Normal. (b) The distribution is approximately Normal. (c) The distribution is roughly symmetric. (d) The distribution has no potential outliers. (e) The distribution is skewed.

  12. Normally Random - 500 Answer • The distribution of the heights of students in a large class is roughly Normal. Moreover, the average height is 68 inches, and approximately 95% of the heights are between 62 and 74 inches. Thus, the standard deviation of the height distribution is approximately equal to • 2 (b) 3 (c) 6 • (d) 9 (e) 12

  13. Normally Random - 600 Answer If a store runs out of advertised material during a sale, customers become upset, and the store loses not only the sale but also goodwill. From past experience, a music store finds that the mean number of CDs sold in a sale is 845, the variance is 225, and a histogram of the demand is approximately Normal. The manager is willing to accept a 2.5% chance that a CD will be sold out. About how many CDs should the manager order for an upcoming sale? (a) 1295 (b) 1070 (c) 935 (d) 875 (e) 860

  14. Biometric Regression - 100 • The following are resistant: • Least-squares regression line • Correlation coefficient • Both (a) and (b) • Neither (a) nor (b) • It depends Answer

  15. Biometric Regression - 200 In a large population of college students, 20% of the students have experienced feelings of math anxiety. If you take a random sample of 10 students from this population, the probability that exactly 2 students have experienced math anxiety is (a) 0.3020. (b) 0.2634. (c) 0.2013. (d) 0.5. (e) 1. Answer

  16. Biometric Regression - 300 A basketball player makes 70% of her free throws. She takes 7 free throws in a game. If the shots are independent of each other, the probability that she makes the first 5 and misses the last 2 is about (a) 0.635. (b) 0.318. (c) 0.015. (d) 0.49. (e) 0.35. Answer

  17. Biometric Regression - 400 One concern about the depletion of the ozone layer is that the increase in ultraviolet (UV) light will decrease crop yields. An experiment was conducted in a green house where soybean plants were exposed to varying levels of UV, measured in Dobson units. At the end of the experiment the yield (kg) was measured. The least-squares regression line is the line that (a) minimizes the sum of the squared differences between the actual UV values and the predicted UV values. (b) minimizes the sum of the squared residuals between the actual yield and the predicted yield. (c) minimizes the sum of the squared differences between the actual yield and the predicted UV. (d) minimizes the sum of the squared residuals between the actual UV reading and the predicted UV reading. (e) minimizes the total variation in the data. Answer

  18. Biometric Regression - 500 One concern about the depletion of the ozone layer is that the increase in ultraviolet (UV) light will decrease crop yields. An experiment was conducted in a green house where soybean plants were exposed to varying levels of UV, measured in Dobson units. At the end of the experiment the yield (kg) was measured. A regression analysis was performed with the following results: Which of the following is correct? (a) If the UV reading increases by 1 Dobson unit, the yield is expected to increase by 0.0463 kg. (b) If the yield increases by 1 kg, the UV reading is expected to decline by 0.0463 Dobson units. (c) The estimated yield is 3.98 kg when the UV reading is 0 Dobson units. (d) The predicted yield is 4.3 kg when the UV reading is 20 Dobson units. (e) None of these Answer

  19. Biometric Regression - 600 Mr. Nerdly asked the students in his AP Statistics class to report their overall GPAs and their SAT Math scores. The scatterplot below provides information about his students’ data. The dark line is the LSRL for the data, and its equation is y=270.45+109.42x. Which of the following statements about the highlighted point is FALSE? (a) This student has a GPA of 2.9 and an SAT Math score of 670. (b) If we used the LSL to predict this student’s SAT Math score, we would make a prediction that is too low. (c) This student’s residual is –82.23. (d) Removing this data point would cause the correlation coefficient to increase. (e) Removing this student’s data point would increase the slope of the LSL. Answer

  20. Biometric Regression - 100 Answer • The following are resistant: • Least-squares regression line • Correlation coefficient • Both (a) and (b) • Neither (a) nor (b) • It depends

  21. Biometric Regression - 200 Answer In a large population of college students, 20% of the students have experienced feelings of math anxiety. If you take a random sample of 10 students from this population, the probability that exactly 2 students have experienced math anxiety is (a) 0.3020. (b) 0.2634. (c) 0.2013. (d) 0.5. (e) 1.

  22. Biometric Regression - 300 Answer A basketball player makes 70% of her free throws. She takes 7 free throws in a game. If the shots are independent of each other, the probability that she makes the first 5 and misses the last 2 is about (a) 0.635. (b) 0.318. (c) 0.015. (d) 0.49. (e) 0.35.

  23. Biometric Regression - 400 Answer One concern about the depletion of the ozone layer is that the increase in ultraviolet (UV) light will decrease crop yields. An experiment was conducted in a green house where soybean plants were exposed to varying levels of UV, measured in Dobson units. At the end of the experiment the yield (kg) was measured. The least-squares regression line is the line that (a) minimizes the sum of the squared differences between the actual UV values and the predicted UV values. (b) minimizes the sum of the squared residuals between the actual yield and the predicted yield. (c) minimizes the sum of the squared differences between the actual yield and the predicted UV. (d) minimizes the sum of the squared residuals between the actual UV reading and the predicted UV reading. (e) minimizes the total variation in the data.

  24. Biometric Regression - 500 Answer One concern about the depletion of the ozone layer is that the increase in ultraviolet (UV) light will decrease crop yields. An experiment was conducted in a green house where soybean plants were exposed to varying levels of UV, measured in Dobson units. At the end of the experiment the yield (kg) was measured. A regression analysis was performed with the following results: Which of the following is correct? (a) If the UV reading increases by 1 Dobson unit, the yield is expected to increase by 0.0463 kg. (b) If the yield increases by 1 kg, the UV reading is expected to decline by 0.0463 Dobson units. (c) The estimated yield is 3.98 kg when the UV reading is 0 Dobson units. (d) The predicted yield is 4.3 kg when the UV reading is 20 Dobson units. (e) None of these

  25. Biometric Regression - 600 Answer Mr. Nerdly asked the students in his AP Statistics class to report their overall GPAs and their SAT Math scores. The scatterplot below provides information about his students’ data. The dark line is the LSRL for the data, and its equation is y=270.45+109.42x. Which of the following statements about the highlighted point is FALSE? (a) This student has a GPA of 2.9 and an SAT Math score of 670. (b) If we used the LSL to predict this student’s SAT Math score, we would make a prediction that is too low. (c) This student’s residual is –82.23. (d) Removing this data point would cause the correlation coefficient to increase. (e) Removing this student’s data point would increase the slope of the LSL.

  26. Relational Design - 100 The percent of cars listed in the table with 4-cylinder engines that are made in Germany is (a) 10.5%. (b) 21%. (c) 50%. (d) 80%. (e) 91%. Answer

  27. Relational Design - 200 From the table we might conclude that (a) there is clearly no relation between country of origin and # of cylinders. (b) the correlation between country of origin and # of cylinders is likely to be about 0.5. (c) a regression line fitted to these data would probably have a negative slope. (d) there is evidence of some relation between country of origin and number of cylinders. (e) the United States has far more cars than any of the other countries. Answer

  28. Relational Design - 300 Control groups are used in experiments in order to (a) control the effects of outside variables on the outcome. (b) control the subjects of a study to ensure that all participate equally. (c) guarantee that someone other than the investigators, who have a vested interest in the outcome, controls how the experiment is conducted. (d) achieve a proper and uniform level of randomization. (e) None of the above. Answer

  29. Relational Design - 400 What electrical changes occur in muscles as they get tired? Student subjects hold their arms above their shoulders as long as they can. Meanwhile, the electrical activity in their arm muscles is measured. This is: (a) an observational study. (b) an uncontrolled experiment. (c) a randomized comparative experiment. (d) a matched pairs design. (e) impossible to describe unless more details of the study are provided. Answer

  30. Relational Design - 500 The Community Intervention Trial for Smoking Cessation (COMMIT) asked whether a community-wide advertising campaign would reduce smoking. The researchers located 11 pairs of communities that were similar in location, size, economic status, and so on. One community in each pair participated in the advertising campaign and the other did not. This is (a) an observational study. (b) a matched pairs experiment. (c) a completely randomized experiment. (d) a block design. (e) impossible to answer unless more details of the study are provided. Answer

  31. Relational Design- 600 The following two-way table categorizes suicides committed in a particular year by the sex of the victim and the method used. Method Male Female Firearms 13,959 2,641 Poison 3,148 2,469 Hanging 3,222 709 Other 1,457 690 Which of the following statements is consistent with the table? (a) There is absolutely no evidence of a relation between the sex of the victim and the method of suicide used. (b) More women commit suicide than men. (c) Men display a greater tendency to use firearms to commit suicide than do women. (d) The correlation between method of suicide and sex of the victim is clearly positive. (e) Females prefer poison over any other method of committing suicide. Answer

  32. Relational Design - 100 Answer The percent of cars listed in the table with 4-cylinder engines that are made in Germany is (a) 10.5%. (b) 21%. (c) 50%. (d) 80%. (e) 91%.

  33. Relational Design - 200 Answer From the table we might conclude that (a) there is clearly no relation between country of origin and # of cylinders. (b) the correlation between country of origin and # of cylinders is likely to be about 0.5. (c) a regression line fitted to these data would probably have a negative slope. (d) there is evidence of some relation between country of origin and number of cylinders. (e) the United States has far more cars than any of the other countries.

  34. Relational Design - 300 Answer Control groups are used in experiments in order to (a) control the effects of outside variables on the outcome. (b) control the subjects of a study to ensure that all participate equally. (c) guarantee that someone other than the investigators, who have a vested interest in the outcome, controls how the experiment is conducted. (d) achieve a proper and uniform level of randomization. (e) None of the above.

  35. Relational Design - 400 Answer What electrical changes occur in muscles as they get tired? Student subjects hold their arms above their shoulders as long as they can. Meanwhile, the electrical activity in their arm muscles is measured. This is: (a) an observational study. (b) an uncontrolled experiment. (c) a randomized comparative experiment. (d) a matched pairs design. (e) impossible to describe unless more details of the study are provided.

  36. Relational Design - 500 Answer The Community Intervention Trial for Smoking Cessation (COMMIT) asked whether a community-wide advertising campaign would reduce smoking. The researchers located 11 pairs of communities that were similar in location, size, economic status, and so on. One community in each pair participated in the advertising campaign and the other did not. This is (a) an observational study. (b) a matched pairs experiment. (c) a completely randomized experiment. (d) a block design. (e) impossible to answer unless more details of the study are provided.

  37. Relational Design- 600 Answer The following two-way table categorizes suicides committed in a particular year by the sex of the victim and the method used. Method Male Female Firearms 13,959 2,641 Poison 3,148 2,469 Hanging 3,222 709 Other 1,457 690 Which of the following statements is consistent with the table? (a) There is absolutely no evidence of a relation between the sex of the victim and the method of suicide used. (b) More women commit suicide than men. (c) Men display a greater tendency to use firearms to commit suicide than do women. (d) The correlation between method of suicide and sex of the victim is clearly positive. (e) Females prefer poison over any other method of committing suicide.

  38. Probability Sign. Tests - 100 A randomly selected student is asked to respond Yes, No, or Maybe to the question “Do you intend to vote in the next presidential election?” The sample space is { Yes, No, Maybe }. Which of the following represents a legitimate assignment of probabilities for this sample space? (a) 0.4, 0.4, 0.2 (b) 0.4, 0.6, 0.4 (c) 0.3, 0.3, 0.3 (d) 0.5, 0.3, –0.2 (e) None of the above Answer

  39. Probability Sign. Tests - 200 If you choose a card at random from a well-shuffled deck of 52 cards, what is the probability that the card chosen is not a heart? (a) 0.25 (b) 0.50 (c) 0.75 (d) 1 (e) None of the above Answer

  40. Probability Sign. Tests - 300 You play tennis regularly with a friend, and from past experience, you believe that the outcome of each match is independent. For any given match you have a probability of 0.6 of winning. The probability that you win the next two matches is (a) 0.16. (b) 0.36. (c) 0.4. (d) 0.6. (e) 1.2. Answer

  41. Probability Sign. Tests - 400 Choose an American household at random and let X be the number of cars (including SUVs and light trucks) they own. Here is the probability model if we ignore the few households that own more than 5 cars: Number of cars X 0 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02 A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold? (a) 7% (b) 13% (c) 20% (d) 45% (e) 55% Answer

  42. Probability Sign. Tests - 500 • Looking online (for example, at espn.go.com) you find the salaries of all 22 players for the Chicago Cubs as of opening day of the 2005 baseball season. The club total was $87 million, eighth in the major leagues. Which inference procedure would you use to estimate the average salary of the Cubs players? • one-sample z interval for µ • one-sample t interval for µ • one-sample t test • (d) one-sample z test • (e) none of these Answer

  43. Probability Sign. Tests - 600 You read in the report of a psychology experiment that “separate analyses for our two groups of 12 participants revealed no overall placebo effect for our student group (mean = 0.08, SD = 0.37, t(11) = 0.49) and a significant effect for our non-student group (mean = 0.35, SD = 0.37, t(11) = 3.28, p < 0.01).” Are the two values given for the t test statistic correct? (The null hypothesis is that the mean effect is zero.) (a) Yes, both are correct. (b) The t statistic for the student group is correct, but the one for the non-student group is incorrect. (c) The t statistic for the non-student group is correct, but the one for the student group is incorrect. (d) Both t statistics are incorrect. (e) We can’t tell whether either t statistic is correct, because we aren’t given the actual data. Answer

  44. Probability Sign. Tests - 100 Answer A randomly selected student is asked to respond Yes, No, or Maybe to the question “Do you intend to vote in the next presidential election?” The sample space is { Yes, No, Maybe }. Which of the following represents a legitimate assignment of probabilities for this sample space? (a) 0.4, 0.4, 0.2 (b) 0.4, 0.6, 0.4 (c) 0.3, 0.3, 0.3 (d) 0.5, 0.3, –0.2 (e) None of the above

  45. Probability Sign. Tests - 200 Answer If you choose a card at random from a well-shuffled deck of 52 cards, what is the probability that the card chosen is not a heart? (a) 0.25 (b) 0.50 (c) 0.75 (d) 1 (e) None of the above

  46. Probability Sign. Tests - 300 Answer You play tennis regularly with a friend, and from past experience, you believe that the outcome of each match is independent. For any given match you have a probability of 0.6 of winning. The probability that you win the next two matches is (a) 0.16. (b) 0.36. (c) 0.4. (d) 0.6. (e) 1.2.

  47. Probability Sign. Tests - 400 Answer Choose an American household at random and let X be the number of cars (including SUVs and light trucks) they own. Here is the probability model if we ignore the few households that own more than 5 cars: Number of cars X 0 1 2 3 4 5 Probability 0.09 0.36 0.35 0.13 0.05 0.02 A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold? (a) 7% (b) 13% (c) 20% (d) 45% (e) 55%

  48. Probability Sign. Tests - 500 Answer • Looking online (for example, at espn.go.com) you find the salaries of all 22 players for the Chicago Cubs as of opening day of the 2005 baseball season. The club total was $87 million, eighth in the major leagues. Which inference procedure would you use to estimate the average salary of the Cubs players? • one-sample z interval for µ • one-sample t interval for µ • one-sample t test • (d) one-sample z test • (e) none of these

  49. Probability Sign. Tests - 600 Answer • You read in the report of a psychology experiment that “separate analyses for our two groups of 12 participants revealed no overall placebo effect for our student group (mean = 0.08, SD = 0.37, t(11) = 0.49) and a significant effect for our non-student group (mean = 0.35, SD = 0.37, t(11) = 3.28, p < 0.01).” Are the two values given for the t test statistic correct? (The null hypothesis is that the mean effect is zero.) • (a) Yes, both are correct. • (b) The t statistic for the student group is correct, but the one for the non-student group is incorrect. • The t statistic for the non-student group is correct, but the one • for the student group is incorrect. • (d) Both t statistics are incorrect. • (e) We can’t tell whether either t statistic is correct, because we aren’t given the actual data.

  50. Sample Tests - 100 Following a dramatic drop of 500 points in the Dow Jones Industrial Average in September 1998, a poll conducted for the Associated Press found that 92% of those polled said that a year from now their family financial situation will be as good as it is today or better. The number 92% is a (a) Statistic (b) Sample (c) Parameter (d) Population (e) None of the above. Answer

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