17) Given the following parallel boxplots: 2 10 12 14 16 18 Data Which of the following statements is incorrect? (A) The maximum value of A is equal to the minimum value of B. (B) The distributions are skewed in opposite directions. (C) The distributions have the same range. "D) A has the same number of data values as B. (E) Combining these data sets will result in a shape that is bimodal. 18) Which of the following is FALSE about the standard normal density curve? (A) The total area under the curve is 1. B) The area from z = 0 to z = 1 is the same as the area from z = -1 to z = 0. (C) 50% of observations fall above the mean and 50% of observations fall below the mean. D) Approximately 95% of all observations fall within three standard deviations above and below the mean. (E) The median and the mean are equal. 19) Your statistics teacher says that your grade on the final exam in AP Statistics (measured in points) had a z-score of -1.5. What is the correct interpretation of this z-score? (A) You scored 1.5 standard deviations above the mean final exam score. (B) You scored 1.5 standard deviations below the mean final exam score. C) You scored in the middle 1.5% of all final exam scores. (D) You scored 1.5 points below the mean final exam score. (E) You scored 1.5 points above the mean final exam score.2C!) The scores on an AP Physics exam have a mean of TI] with a standard deviation of 3. If one student has a test result 1with a zscore of l.5. and a second student has a test result with a zscore of 2J1 how many points higher was the second student's result than that of the rst?I (A) 3.5 (a) 4 {c} 12 (n) is {E} 2s 21) The back-toback stemplot on the right shows the number of books read in a year by a random sample of college and College High School high school students. Which of the following statements are true? 5 E g I] I] D 3 5 I. Use college student read 33" books. 4 3 3 1 3 1 2 4 4 '5 II. The college median is equal to the high school median. 9 3 3 5 3 l 3 9 III. The mean is greater than the median in both groups. 3 2 2 1 [A] I only 6 (E) II only 3 T {C} I and III only [D] I] and III only {E} I. I]. and III 22} When you walk into a sporting event. the average noise in 35 decibels 1with a standard deviation of 5 decibels. Assuming a normal distribution. what percentage of games result in a noise level between 29 and 4D decibelsr. [A] sass [B] sass {c} ssss (u) srss {a} sssi 23) SAT scores are normally distributed, with a mean of 1051. What is the standard deviation of SAT scores if we know Steven scored at the 95" percentile with a score of 1398? (A) 3.65 (B) 211 (C) 205 (D) 234 (E) 30324) The scores on an actuarial licensing examination given in New York are normally distributed with a standard deviation of 70. What is the mean test score if 25% of the applicants scored above 475? (A) 416 (B) 428 (C) 468 (D) 522 (E) There is not enough information to answer this question. 25) At your school, your principal tells you that the average student is absent for 8 school days with a standard deviation of 1.5 days. What is the correct interpretation of standard deviation? (A) The approximate mean distance between an individual student's number of days absent and the school's mean number of days absent. (B) The approximate median distance between an individual student's number of days absent and the school's mean number of days absent. (C) The distance between the maximum numbers of days absent taken by a student and the minimum number of days absent taken by a student. (D) The distance between the middle 50% of all absent days taken by a student. (E) The distance between the middle 95% of all absent days taken by a student