Name _____________________________
2007 AP Statistics Multiple Choice Exam
Directions: Solve each of the following problems, using the available space for scratch work. Decide which is the best of the choices given and fill in the corresponding oval on the answer sheet. No credit will be given for anything written in the test book. Do not spend too much time on any one problem.
1. The statistics below provide a summary of the distribution of heights, in inches, for a simple random sample of 200 young children.
Mean: 46 inches
Median: 45 inches
Standard Deviation: 3 inches
First Quartile: 43 inches
Third Quartile: 48 inches
About 100 children in the sample have heights that are
(A) less than 43 inches
(B) less than 48 inches
(C) between 43 and 48 inches
(D) between 40 and 52 inches
(E) more than 46 inches
2. In which of the following situations would it be most difficult to u a census?
(A) To determine what proportion of licend bicycles on a university campus have lights
(B) To determine what proportion of students in a high school support wearing uniforms
(C) To determine what proportion of registered students enrolled in a college are employed more than
20 hours each week
(D) To determine what proportion of single-family dwellings in a small town have two-car garages
(E) To determine what proportion of fish in Lake Michigan are bass
3. The distribution of the diameters of a particular variety of oranges is approximately normal with a standard deviation of 0.3 inch. How does the diameter of an orange at the 67th percentile compare with the mean diameter?
(A) 0.201 inch below the mean
(B) 0.132 inch below the mean
(C) 0.132 inch above the mean
(D) 0.201 inch above the mean
(E) 0.440 inch above the mean
4. Independent random samples of 100 luxury cars and 250 non-luxury cars in a certain city are examined to e if they have bumper stickers. Of the 250 non-luxury cars, 125 have bumper stickers and of the 100 luxury cars, 30 have bumper stickers. Which of the following is a 90 percent confidence interval for the difference in the proportion of non-luxury cars with bumper stickers and the proportion of luxury cars with bumper stickers from the population of cars reprented by the samples?
(A)
(B)
(C)
(D)
(E)
5. A safety group claims that the mean speed of drivers on a highway exceeds the posted speed limit of 65 miles per hour (mph). To investigate the safety group's claim, which of the following statements is appropriate?
(A) The null hypothesis is that the mean speed of drivers on this highway is less than 65 mph.
(B) The null hypothesis is that the mean speed of drivers on this highway is greater than 65 mph.
(C) The alternative hypothesis is that the mean speed of drivers on this highway is greater than 65 mph.
(D) The alternative hypothesis is that the mean speed of drivers on this highway is less than 65 mph.
(E) The alternative hypothesis is that the mean speed of drivers on this highway is greater than or equal
to 65 mph.
6. A fair coin is to be flipped 5 times. The first 4 flips land "heads" up. What is the probability of "heads" on the next (5th) flip of this coin?
(A)
(B)
(C)
(D)
(E)
7. The stemplot below shows the yearly earnings per share of stock for two different companies over a sixteen-year period.
Company A Company B
0 58, 75, 96, 98
92, 91, 90, 82, 78, 43, 38, 26 1 01, 10, 17, 21, 43, 43, 53, 65, 73
49, 47, 44, 00 2 09, 27, 29
73, 27, 05, 02 3
Which of the following statements is true?
(A) The median of the earnings of Company A is less than the median of the earnings of the Company B.
(B) The range of the earnings of Company A is less than the range of the earnings of Company B.
(C) The third quartile of Company A is smaller than the third quartile of Company B.
(D) The mean of the earnings of Company A is greater than the mean of the earnings of Company B.
(E) The interquartile range of Company A is twice the interquartile range of Company B.
8. Let X reprent a random variable who distribution is normal, with a mean of 100 and a standard deviation of 10. Which of the following is equivalent to P(X > 115)?
(A) P(X < 115)
