APStatisticsMultipleChoiceExam统计选择题.doc

1、Name _2007 AP Statistics Multiple Choice ExamDirections: 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 bo

2、ok. 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 inchesMedian: 45 inchesStandard Deviation: 3 inchesFirst Quartile: 43 inchesThird Quartile: 48 inchesAbou

3、t 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 use a census? (A)To determine what proportion of licens

4、ed 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

5、 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 perc

6、entile 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 see if they

7、 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 w

8、ith bumper stickers from the population of cars represented by these 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 groups claim, which of the following statements is

9、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

10、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

11、 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 ACompany B058, 75, 96, 9892, 91, 90, 82, 78, 43, 38, 26101, 10, 17, 21, 43, 43, 53, 65, 7349

12、, 47, 44, 00209, 27, 2973, 27, 05, 023Which 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 C

13、ompany 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 represent a random variable whose distribution is nor

14、mal, 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)(B)P(X 115)(C)P(X 85)(D)P(85 X 115)(E)1 - P(X 85)9. A television news editor would like to know how local registered voters would respond to the question, Are you in favor of the schoo

15、l bond measure that will be voted on in an upcoming special election? A television survey is conducted during a break in the evening news by listing two telephone numbers side by side on the screen, one for viewers to call if they approve of the bond measure, and the other to call if they disapprove

16、. This survey method could produce biased results for a number of reasons. Which one of the following is the most obvious reason?(A)It uses a stratified sample rather than a simple random sample. (B)People who feel strongly about the issue are more likely to respond. (C)Viewers should be told about

17、the issues before the survey is conducted.(D)Some registered voters who call might not vote in the election.(E)The wording of the question is biased.10. A high school physics teacher was conducting an experiment with his class on the length of time it will take a marble to roll down a sloped chute.

18、The class ran repeated trials in order to determine the relationship between the length, in centimeters, of the sloped chute and the time, in seconds, for the marble to roll down the chute. A linear relationship was observed and the correlation coefficient was 0.964. After discussing their results,

19、the teacher instructed the students to convert all of the length measurements to meters but leave the time in seconds. What effect will this have on the correlation of the two variables?(A) Because the standard deviation of the lengths in meters will be one hundredth of the standard deviation of the

20、 lengths in centimeters, the correlation will decrease by one hundredth to 0.954.(B) Because the standard deviation of the lengths in meters will be one hundredth of the standard deviation of the lengths in centimeters, the correlation will decrease proportionally to 0.00964.(C) Because changing fro

21、m centimeters to meters does not affect the value of the correlation, the correlation will remain 0.964.(D) Because only the length measurements have been changed, the correlation will decrease substantially.(E) Because meters are a much more common measurement for length in determining speed, the l

22、inear relationship of the data will be stronger and thus the correlation will increase substantially.11. Julie generates a sample of 20 random integers between 0 and 9 inclusive. She records the number of 6s in the sample. She repeats this process 99 more times, recording the number of 6s in each sa

23、mple. What kind of distribution has she simulated?(A)The sampling distribution of the sample proportion with n = 20 and p = 0.6(B)The sampling distribution of the sample proportion with n = 100 and p = 0.1(C)The binomial distribution with n = 20 and p = 0.1(D)The binomial distribution with n = 100 a

24、nd p = 0.1(E)The binomial distribution with n = 20 and p = 0.6nMeanMedianSample I2142.645.0Sample II2649.248.512. The table above shows the sample size, the mean, and the median for two samples of measurements. What is the median for the combined sample of 47 measurements?(A)(B)(C)(D)(E)It cannot be

25、 determined from the information given.13. Dan, a trainer at the Popular Gym, was interested in comparing levels of physical fitness of students attending a nearby community college and those attending a 4-year college in town. He selected a random sample of 320 students from the community college.

26、The mean and standard deviation of their fitness scores were 95 and 10, respectively. Dan also selected a random sample of 320 students from a 4-year college. The mean and standard deviation of their fitness scores were 92 and 13, respectively. He then conducted a two-sided t-test that resulted in a

27、 t-value of 3.27. Which of the following is an appropriate conclusion from this study?(A)Because the sample means only differed by 3, the population means are not significantly different.(B)Because the second group had a larger standard deviation, their mean fitness score is significantly higher.(C)

28、Because the second group had a larger standard deviation, the mean fitness score of the first group is significantly higher.(D)Because the p-value is less than a = 0.05, the mean fitness scores for the two groups of students are significantly different.(E)Because the p-value is greater than a = 0.05

29、, the mean fitness scores for the two groups of students are significantly different.14. A researcher wishes to test a new drug developed to treat hypertension (high blood pressure). A group of 40 hypertensive men and 60 hypertensive women is to be used. The experimenter randomly assigns 20 of the m

30、en and 30 of the women to the placebo and assigns the rest to the treatment. The major reason for separate assignment for men and women is that(A)it is a large study with 100 subjects(B)the new drug may affect men and women differently(C)the new drug may affect hypertensive and nonhypertensive peopl

31、e differently(D)this design uses matched pairs to detect the new-drug effect(E)there must be an equal number of subjects in both the placebo group and the treatment group.15. The histograms below represent the distribution of five different data sets, each containing 28 integers, from 1 through 7, inclusive. The horizontal and vertical scales are the same for all graphs. Which graph represents the data set with the largest standard devia