AP Statistics Exam Review

The heights of adult women are approximately normally distributed about a mean of 65 inches with a standard deviation of 2 inches. If Bella is at the 87th percentile in height for adult women, then her height, in inches, is closest to

• 63

• 67

• 66

• 72

• 70

Andrea's doctor told her that the standardized score (z-score) for her systolic blood pressure, as compared to the blood pressure of other women her age, is 1.75. Which of the following is the best interpretation of this standardized score?

• Andrea's systolic blood pressure is 175.

• Andrea's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure of women her age.

• Andrea's systolic blood pressure is 1.75 above the average systolic blood pressure of women her age

• Only 1.75% of women Andrea's age have a higher systolic blood pressure than she does.

• Andrea's systolic blood pressure is 1.75 times the average systolic blood pressure of women her age.

The graph shows the distribution of scores of 30 students on a mathematics test. Based on the histogram, which statement must be true?

• The lowest test score is 41%.

• The highest test score is 100%.

• The mean test score is between 81% and 90%.

• The median test score is not greater than 80%.

• The lower quartile of the test scores is greater than 60%.

In a certain school, students can choose whether to eat in the school’s cafeteria. A reporter working for the school’s newspaper polled students on their reactions to changes in the menu at the cafeteria. For each student leaving the cafeteria in one 20-minute time period, the reporter used a die to determine whether to stop the student and ask how he or she felt about the new menu. In the reporter’s article it was stated that a random sample of the students showed that 23% of the school’s student population was happy with the new menu. Which of the following statements is true?

• Because each student leaving the cafeteria was randomly selected and could choose to answer or not, this is a random sample of the student population, and the 23% is an accurate measurement of the school population’s view of the new menu.

• Because students self-selected whether to eat in the cafeteria, the sampling method might be biased and the sample might not be representative of all students in the school.

• The survey would have been more effective if the reporter had collected the data in one 10-minute time period rather than in one 20-minute time period.

• The survey would have been more effective if students who cared about the food could have called the reporter to tell how they felt about the new menu, so that only students with opinions on the subject would have been surveyed.

• Because no treatment was imposed on the students eating in the cafeteria, one cannot make any conclusions about the new menu.

The student government at a high school wants to conduct a survey of student opinion. It wants to begin with a simple random sample of 80 students. Which of the following survey methods will produce a simple random sample?

• Survey the first 80 students to arrive at school in the morning

• Survey every 5th student entering the school library until 80 students are surveyed.

• Use random numbers to choose 20 each of first-year, second-year, third-year, and fourth-year students.

• Number the students in the official school roster. Use a table of random numbers to choose 80 students from this roster for the survey.

• Number the cafeteria seats. Use a table of random numbers to choose seats and interview the students until 80 have been interviewed.

The boys and girls basketball teams at a high school had their heights measured at practice. The following data was recorded for their heights. What can you conclude from the distributions?

• The girls have a larger median and a larger range in heights.

• The boys had a smaller median height than the girls; however, the boys had a larger range of heights.

• The median height for the boys and the girls is the same; however, the girls have a larger range.

• The median height for the boys is larger; however, the girls have a larger range.

• No information can be concluded from the distribution since there is no key included.

The boxplots summarize two data sets, 1 and 2. Which of the following must be true?

• I only

• I and III only

• I and II only

• I, II, and III

• III only

Use the table to answer the following question. Of the male subjects in the study, what fraction drive a sports car?

• 39/84

• 39/240

• 39/60

• 60/240

• 84/240

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

A mayor is concerned about the percentage of city residents who express disapproval of his job performance.  His political committee pays for a newspaper ad, hoping to keep his disapproval rating below 21%.  They will use a follow up poll to access effectiveness.  What are the correct null and alternative hypotheses?

• Ho: p=.21
  Ha: p > .21

• Ho: p< .21
  Ha: p= .21

• Ho: p> .21
  Ha: p= .21

• Ho: p= .21
  Ha: p< .21

5% of trucks of a certain model have needed new engines after being driven between 0 and 100 miles.  The manufacturer hopes that the redesign of one of the engine's components has solved this problem.  Write the null and alternative hypotheses for this situation.

• Ho:  p< 0.05
  Ha:  p = 0.05

• Ho:  p = 0.05
  Ha:  p > 0.05

• Ho:  p = 0.05
  Ha:  p < 0.05

• Ho:  p > 0.05
  Ha:  p = 0.05