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Question 1 Suppose P(A) = 0.50, P(B) = 0.17, and P(A B)= 0.05. What is P(AC D B)? [Give your numeric response to at least 3 decimal places. Give only the number, and no extra characters or symbols.] Your Answer: Question 2 Consider the following frequency histogram of 100 observations. O [x O >.ll') U C 3 0-0 2\"") LI. 0 '- C I l l I l 0 2 4 6 8 X Which of the following statements are true? There may be more than one correct statement; check all that are true. a) The distribution is roughly symmetric. b) The 70th percentile is less than 4. c) The range is less than 5. d) The median is between 3 and 5. Question 3 An urn contains 12 balls. 5 balls are red, and the remainder (12-5) are green. 3 balls are drawn randomly without replacement. Given the first two balls drawn are red, what is the probability the third ball is green? [Give your numeric response to at least 3 decimal places. Give only the number, and not any extra characters or symbols.] Your Answer: Question 4 Consider the following 3 scenarios. |. Researchers wish to investigate a possible effect of daily aspirin intake on weight gain. ll. Researchers wish to investigate a possible relationship between marital infidelity and binge drinking. |||. Researchers wish to investigate a possible difference in effectiveness between two novel teaching methods. Which of these scenarios would best be carried out as an experiment rather than an observational study or survey? Just l. l and ||. | and III. II and Hi. All of them. Question 5 Suppose we are about to roll an ordinary, balanced six-sided die once, and consider the following events. A: The number on the top face is even. B: The number on the top face is a 3 or 4. C: The number on the top face is a 6. Which of the following statements are true? There may be more than one correct statement; check all that are true. B and C are independent. A and B are independent. A and C are independent. A and AC are independent. Question 6 Researchers are planning a study to investigate various physical characteristics of Turkish children, including a comparison of waist circumference between boys and girls. Which of the following statements are true? There may be more than one correct statement; check all that are true. a) The waist circumference of the boys in the sample they eventually get would be a statistic. b) They must make sure the sample size is at least a tenth of the population size, or statistical procedures cannot be used. c) They must use simple random sampling to get the children for the study, or the results will be useless. d) It is extremely important that they get exactly the same number of boys and girls for the study. Question 7 Which of the following statements are true? There may be more than one correct statement; check all that are true. a) In a boxplot, the distance between the median and Q3 is always equal to the length of the upper whisker. b) The standard deviation will be equal to 0 only if all the observations in a data set are equal to 0. c) If we calculated the z-scores for every value in a sample data set, those z-scores would have a mean of 0. d) For mound-shaped distributions, approximately 50% of observations lie within 5 standard deviations of the mean. Question 8 Consider the following sample of 5 observations. -10, 7, 591, 7, 14 There is one outlier. Suppose we wish to remove the outlier from the calculations and calculate the variance of the remaining values. What would the value of the variance be? [Give your numeric response to *at least* 3 decimal places. Include only the number, and no other characters or symbols in your response] Your Answer: Question 9 Suppose we have a sample of4 observations. All of the values lie between 0 and 35 (inclusive, and repeats are allowed). What is the largest possible value of the variance? [Give your response to at least 3 decimal places. Give only the number, and do not include any extra characters or symbols.] Your Answer: Question 10 Suppose P(A) = 0.54, P(B) = 0.15, andP(A B)= 0.07. What is P(A|BC)? [Give your numeric response to at least 3 decimal places. Give only the number, and no extra characters or symbols.] Your Answer: Question 11 Suppose a sample of n = 260 observations has a mean of 11.8 and a variance of 8.0. If each value in the sample is multiplied by 3 and then 40 is added, what would be the variance of the new sample values? [Give your numeric response to at least 3 decimal places. Give only the number, and do not include any extra characters or symbols.] Your Answer: Question 12 Consider the following boxplots. 70 60 %E 0 4O 50 30 O A B Which of the following statements are true? There may be more than one correct statement; check all that are true. a) The IQR for sample B is greater than the range for sample A. b) Both distributions show strong right skewness. c) Sample Awould have a standard deviation that is less than 1. d) If the outlier in sample A were removed (omitted from the calculations), sample A's mean would increase