11. Add 6 to each number in the dataset. Then, the 15th percentile is: a. 1 b. 6 c. 8 d. 7 Use the following information to answer questions 12-14: Suppose the probability that an adult gets the news from Facebook is 0.60. A random sample of 14 adults were surveyed to determine X, the number of adults who get their news from Facebook. 12. Which of the following statements is false? a. The set of possible x-values is {1, 2, 3, . . ., 14} b. X ~ B (14, 0.60) c. P(X=5) = 0.0408 d. µ = 8.4 13. Find the probability that at least 6 adults get their news from Facebook. a. 0.8499 b. 6/14 c. 0.6429 d. 0.9417 14. X is of data of type: a. categorical nominal b. categorical ordinal c. numerical continuous d. numerical discrete 15. Suppose that the ages of Brunswick CC students are normally distributed. A random sample of 6 Brunswick CC students reported the ages of 20, 35, 18, 45, 27, and 20 years old. Find the error bound that corresponds to the 90% confidence interval for the true population mean age of Brunswick CC students. a. 22.3 b. 11.2 c. 8.7 d. 17.5 16. Under the standard normal distribution curve, 97.5% of the area lies above the value: a. 1.96 b. -1.96 c. -1 d. 1 17. Suppose that the amount of time moviegoers wait in line to buy tickets at the box office is normally distributed with a mean of 5 minutes and a standard deviation of 1.5 minutes. Find the probability that the mean wait time for 10 moviegoers to buy tickets at the box office is at most 5.5 minutes. a. 0.8541 b. 0.6301 c. 0.1459 d. 0.3694 18. The director of operations for an oil company wants to measure employee satisfaction at his chain of convenience stores. He randomly selects 2/9 districts of stores for his HR director to survey all the employees regarding how satisfied they are with their job. What type of sampling design was used to gather the data? a. stratified b. cluster c. systematic d. simple random Use the following information to answer questions 19 and 20: An experimenter rolls two dice, each with twelve sides numbered 1 through 12. Let A = both dice land on even numbers. Let B = both dice land on numbers greater than 8. 19. Events A and B are: a. independent b. mutually exclusive c. neither a nor b d. both a and b 20. Find P(A|B). a. 16/144 b. 2/4 c. 2/144 d. 4/16 Use the following table and information to answer questions 21 and 22: A company wants to build a new site with the number of bathrooms commensurate with the number of employees who will work there. The analytics team decides to analyze a linear model of these data from extant sites to inform this decision before construction. Number of employees 650 730 810 900 102 107 1150 Number of bathrooms 40 50 54 61 82 110 121 21. The linear regression equation is: a. y-hat = 79.96 + 0.0094x b. y-hat = 0.0094 – 79.96x c. y-hat = 0.0094 – 79.96x d. y-hat = 79.96 – 0.0094x 22. Predict how many bathrooms a new site with 1150 employees should have. a. 91 b. 70 c. 121 d. The linear regression equation should not be used to make predictions. 23. A correlation coefficient of 0.1 indicates that a scatterplot of the data follows: a. a strong, positive linear pattern b. a weak, negative linear pattern c. no pattern d. a weak, positive linear pattern 24. Choose the correct interpretation for the 95% confidence interval estimate of the true population mean IQ score among adult Americans: (70, 130) a. We are 95% confident that a randomly selected adult American has an IQ score between 70 and 130. b. We have a 95% chance to capture the true population mean IQ score among adult Americans in between 70 and 130. c. We are 95% confident that the true population mean IQ score among adult Americans is between 70 and 130. d. The probability that a randomly selected adult American has an IQ score between 70 and 130 is 95%. 25. Choose the correct conclusion of a hypothesis test of the claim, “The population mean number of hours introductory statistics students spend studying per week is greater than 15.” a. Fail to reject H0. We have enough evidence to conclude that the true population mean number of hours introductory statistics students spend studying per week is greater than 15. b. Fail to reject H0. We do not have enough evidence to conclude that the true population mean number of hours introductory statistics students spend studying per week is significantly greater than 15. c. Accept H0. We do not have enough evidence to conclude that the true population mean number of hours introductory statistics students spend studying per week is significantly greater than 15. d. Reject H0. We have enough evidence to conclude that the true population mean number of hours introductory statistics students spend studying per week is significantly greater than 15. e. Reject H0. We do not have enough evidence to conclude that the true population mean number of hours introductory statistics students spend studying per week is significantly greater than 15. f. both a and d g. both c and d h. all a, c, and d