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?

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

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

The segmented bar charts below depict the data from the NAAL (National Assessment of Adult Literacy) conducted in 2003. Based on the graph, which statement must be true.

Of all the students that never volunteered, the greatest number were in the below basic level of prose literacy.

The prose literacy level with the greatest percentage of people who volunteered once per week or more was below basic.

For people with proficient prose literacy level, the number who volunteered once per week or more was greater than the number who volunteered less than once per week.

Intermediate and proficient prose level had the same number of students who volunteered less than once per week.

For students who had basic prose literacy level, the number who volunteered less than once per week was greater than those who never volunteered.

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.

What's the appropriate interpretation of the slope of the regression line?

For every additional hour of growth, the logarithm of the culture's weight in grams is predicted to increase by 0.61.

For every additional 0.61 hours of growth, the culture is predicted to weight 1 more gram.

For every additional hour of growth, the culture is predicted to weigh 0.61 more grams.

At the beginning of the experiment, the logarithm of the culture's weight in grams was approximately 0.61 ounces.

A Type I error is when:

We reject the null hypothesis when it is actually true

We obtain the wrong test statistic

We fail to reject the null hypothesis when it's actually false

We reject the alternate hypothesis when it's actually true

A friend has placed a large number of plastic disks in a hat and invited you to select one at random. He informs you that half are red and half are blue. If you draw a disk, record the color, replace it, and repeat 100 times, which of the following is true?

The overall proportion of red disks drawn should be close to 0.50.

It is unlikely you will choose red more than 50 times.

If you draw 10 blue disks in a row, it is more likely you will draw a red on the next try.

The chance that the 100th draw will be red depends on the results of the first 99 draws.

A dealer in Las Vegas selects 10 cards from a standard deck of 52 cards. Let Y be the number of diamonds in the 10 cards selected. Which of the following best describes this setting?

Y is a binomial distribution with n = 10 observations and probability of success p = 0.25, provided that after selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.

Y has a binomial distribution with n = 10 observations and probability of success p = 0.25.

Y has a binomial distribution with n = 10 observations and probability of success p = 0.25, provided the deck is shuffled well.

Y has a geometric distribution with n = 10 observations and probability of success p = 0.25

I collect a random sample of size n from a population and from the data collected compute a 95% confidence interval for the mean of the population. Which of the following would produce a wider confidence interval, based on these same data?

Use the same confidence level, but compute the interval n times. Approximately 5% of these intervals will be larger

A medical researcher wishes to investigate the effectiveness of exercise versus diet in losing weight. Two groups of 25 overweight adult subjects are used, with a subject in each group matched to a similar subject in the other group on the basis of a number of physiological variables. One of the groups is placed on a regular program of vigorous exercise but with no restriction on diet, and the other is placed on a strict diet but with no requirement to exercise. The weight losses after 20 weeks are determined for each subject, and the difference between matched pairs of subjects (weight loss of subject in exercise group - weight loss of matched subject in diet group) is computed. The mean of these differences in weight loss is found to be 2 lb with standard deviation sₓ = 4 lb. Is this convincing evidence of a difference in mean weight loss for the two methods? To answer this question, you should use

one-sample z interval for μₓ

A simple random sample of 1000 Americans found that 62% were satisfied with the service provided by the dealer from which they bought their car. A simple random sample of 1000 Canadians found that 59% were satisfied with the service provided by the dealer from which they bought their car. The sampling variability associated with these statistics is

not exactly the same, but very close

much smaller for the sample of Canadians because the population of Canad is much smaller than that of the United States, hence the sample is a larger proportion of the population.

smaller for the sample of Canadians because the percent satisfied was smaller than that of Americans.

When conducting a significance test for the difference in proportions, why do we pool the data when finding standard error?

Because we assume p1 = p2 in Ho

Because the sample sizes are always equal

To be safe and make sure we don't underestimate the standard error

Because we don't the standard deviation.

White blood cell counts are normally distributed with mean 7500 and variance 500. If a patient has taken 50 laboratory blood tests that have a mean of 6899.75 and a standard deviation of 393.44, does this give evidence that his white blood cell count is significantly different than normal?

One-Sample Z Test for a Proportion

One-Sample T Test for a Proportion

In 1975, a random sample of 1484 adult U.S. citizens was surveyed, and 193 strongly agreed with the statement, "People should take care of themselves". Then, in 1991, a survey of 1013 adult U.S. citizens showed that only 61 strongly agreed with the statement. Does this indicate that the proportion of U.S.adults who strongly agree with the given statement has dropped?

Two-Sample Z Test for the Difference in Proportions

Two-Sample T Test for the Difference in Means

Matched Pairs T Test for a Mean

AP Stat Exam Review Quiz

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following is the best estimate of the standard deviation of the distribution in the figure?

18

9

54

97

106

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A company wanted to determine the child care costs of its employees. A sample of 25 employees were interviewed and their child care expenses for the previous year were determined. Later, the company discovered that the highest expense in the sample was mistakenly recorded as 5 times the actual amount. However, after correcting the error, the correct amount was still greater than or equal to any other expense in the sample. Which of the following sample statistics must have remained the same after the correction was made?

standard deviation

mean

mode

range

median

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A company determines the mean and standard deviation of the employees' salaries in one year. What is the best description of the standard deviation?

Approximately the median distance between the individual salaries of employees and the mean of every employee's salary.

The amount of money separating the highest salary from the lowest salary when considering the middle 50% of the distribution.

The amount of money separating the highest salary from the lowest salary when considering all employees.

The distance between the salary of an employee and the mean salary of all the employees.

Approximately the mean distance between the individual salaries of employees and the mean of all employees' salaries.

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

The equation of the LSRL for the points on a scatterplot is ŷ = 5.3-0.23x. What is the residual for the point (5, 4)?

-0.15

0.15

1

0.62

0.85

Tags

CCSS.HSS.ID.B.6B

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

Tags

CCSS.HSS.ID.A.4

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

To check the effect of hot temperatures on the elasticity of two brands of rubber bands, one box of Brand A and one box of Brand B rubber bands are tested. Ten bands from the Brand A box are placed in a warm car in the sun for two hours and ten bands from the Brand B box are kept at room temperature. The amount of stretch before the breakage is measured on each rubber band, and the mean for the hot bands is compared to the mean for the others. Is this a good experimental design?

No, because the means are not proper statistics for comparison.

No, because more than two brands should be used.

No, because more temperatures should be used.

No, because temperature is confounded with brand.

Yes

Tags

CCSS.HSS.IC.B.3

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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.

Tags

CCSS.HSS.ID.A.4

8.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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%.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

9.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

At a college the scores on the Spanish final exam are approximately normally distributed, with a mean of 75 and a standard deviation of 12. The scores on the Humanities final are also approximately normally distributed, with a mean of 80 and a standard deviation of 8. A student scored 81 on the Spanish final and 84 on the Humanities final. Relative to the students in each respective class, in which subject did this student do better?

The student did better in Spanish.

The student did better in Humanities.

There is no basis for comparison, since the subjects are different from each other and are in different departments.

The student did equally well in each course.

There is not enough information for comparison.

Tags

CCSS.HSS.ID.A.4

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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.

Tags

CCSS.HSS.IC.B.3

AP Stat Exam Review

50 questions

Which of the following is the best estimate of the standard deviation of the distribution in the figure?

A company determines the mean and standard deviation of the employees' salaries in one year. What is the best description of the standard deviation?

The equation of the LSRL for the points on a scatterplot is ŷ = 5.3-0.23x. What is the residual for the point (5, 4)?

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

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?

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

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