2025 ap统计选择题 - 副本_在线真题试卷与模拟练习_2025 ap统计选择题

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Students from a high school with a large student population were asked whether they regularly ride the bus to school. The bar chart provided shows the relative frequency of students in each grade level (9th, 10th, 11th, and 12th ) who indicated that they regularly rode the bus to school.

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Based on the bar chart,which of the following statements must be true?

A study of the effect of note-taking on student learning used two groups, each consisting of 100 biology students. • Group 1: On day one of the study, these 100 students were given an hour-long class on how to take notes in outline form. • Group 2: On day one of the study, these 100 students were not given any training on note-taking. On day two of the study, both groups were placed in a classroom and were taught a lesson on biology. After the lesson, the students were given an hour to review their notes and then took an assessment on the content of the lesson. The students in Group 1 performed significantly better on the assessment than the students in Group 2 did. Which of the following statements about the study is true?

From a sample of 52 people, data were collected on each person's age and film genre preference. The responses are shown in the table, classified by age-group.

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What proportion of people in the sample preferred romance?

The distribution of the sale price of a certain car model is approximately normal with a mean of 65,500 and a standard deviation of $3,100. Based on the distribution, which of the following is an appropriate conclusion?

A scam call is a call made to deceive the person receiving the call. A report claims that 45 percent of all calls received on mobile phones can be classified as scam calls. A mobile phone service believes that the percent of scam calls is different than the 45 percent claimed in the report. Let P represent the population of mobile phone calls that can be classified as scam calls. A random sample of calls received on mobile phone devices was selected in order to construct a 95 percent confidence interval for estimating P. Assuming the conditions of inference were met, at a 0.05 level of significance, which of the following would provide evidence to reject the report's claim?

A researcher at a company with a large number of employees wanted to investigate whether a training course would improve employees' understanding of the company policies. The researcher selected a random sample of 9 employees from the company and gave each selected employee an exam prior to the training to identify their understanding of the company policies. Each selected employee was given a score on the exam from 0 （no understanding）to 100（excellent understanding）.After the employees completed the training course, they were given the same exam. The results are summarized in the table.

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Assume the conditions for inference have been met. Which of the following is closest to the value of the test statistic of the appropriate test for investigating whether there is a mean difference in exam score（after minus before）for all employees of the company?

Franklin will conduct a simulation by using a fair twelve-sided die that is used for a certain board game. For each roll of the die, there are 12 possible outcomes-the integers 1 through 12. For each of the first three trials of the simulation, Franklin rolled the twelve-sided die and each outcome of the roll was the number 7. Based on the first three trials of the simulation, which of the following statements is true?

The staff at a large farm collected data on the species and sex of animals that they sold last year. The data are displayed in the table.

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One of the animals sold last from the farm will be selected at random. Which of the following is closest to the probability that the animal selected is male given that the animal is a horse?

For an elementary school science project, each student in a class of 25 students planted 7 seeds of a certain flower and recorded the number of seeds that sprouted. The frequency table summarizes the recorded data.

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Based on the frequency table for the class of 25 students, which of the following best describes the distribution of the number of seeds that sprouted?

A researcher uses a handheld radar device to measure the speed of cars along a certain stretch of highway and records the speed of all cars for one week. Calibration of the device reveals that the device was measuring speeds at 4 miles per hour less than the actual speed. Which of the following statistics would have a different numerical value for the actual speeds than for recorded speeds before the calibration?

A total of 18 different teams participated in a bowling tournament. Each team had the same number of team members. To investigate the satisfaction of the team members with the tournament, the tournament director conducted a survey. For each team participating in the tournament, the director randomly selected two members of the team to take the survey. Which statement best describes the sampling method used by the director?

A research group conducted a study to investigate whether there is an association between age-group and electronic device preference for sending e-mails. A random sample of 216 adults was selected. The table shows the results of the study.

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Assume the conditions for inference have been met. If a chi-square test of independence is conducted, which of the following will be closest to the expected number of adults ages 39 to 58 years old who prefer using a tablet for sending e-mails?

In a certain county, 84 percent of high school graduates obtained a driver's license before graduation. Which of the following samples is more likely to have more than 90 percent of high school graduates who obtained a driver's license before graduation? • Sample A: A random sample of 200 high school graduates from the county • Sample B: A random sample of 400 high school graduates from the county

According to a report the mean number of rolls of toilet paper used each year by residents of a certain city is 100. To investigate this claim, researchers surveyed a random sample of residents from the city and recorded the number of rolls of toilet paper they used each year. They used the data to test the hypotheses $$H_0: \mu = 100$$ versus $$H_a: \mu \neq 100$$, where $$\mu$$ is the mean number of rolls of toilet paper used each year by all residents of the city. The conditions for inference were met and the p-value of the test is 0.058. At the significance level of $$\alpha = 0.05$$, which of the following statements is true?

A researcher will investigate the following question by selecting 50 people with pain in their knees. "For people with pain in their knees, is there a difference in the mean level of pain between people who use a supplement daily and people who use a placebo pill daily?" The researcher's assistant will randomly assign half of the participants to receive the supplement in the form of a daily pill and the other half to receive a daily placebo pill. Neither the researcher nor the participants will know which type of pill each participant will receive. At the end of one week, the participants will record their level of pain on a scale from 1 to 10, where 1 represents no pain and 10 represents extreme pain. Which of the following confidence intervals should the researcher use for the investigation?

After reading a report that indicates that 67 percent of people in a country use a certain social media platform, David decides to investigate whether the percent is greater for people in the city where he lives. From as random sample of 500 people from the city, 72 percent indicated they use the social media platform. David then tests the following hypotheses for the proportion p of all people the city who use the social media platform. $$H_0: p = 0.67$$ $$H_a: p > 0.67$$ David's one-sample z-test for a population proportion produced test statistic of 2.38 and a p-value of 0.009. Which of the following statements is true?

A certain state has many mountains, and the heights of those mountains are approximately normally distributed with a mean of 10,500 feet and a standard deviation of 900 feet. Four of the mountains in the state are Trapper Peak, Granite Peak, Crazy Peak, and McDonald Peak. Trapper Peak has a height of 10,157 feet, Granite Peak's height has a z-score of 2.56, Crazy Peak has a height of 11,214 feet, and McDonald Peak's height has a z-score of —0.76. Which of the following orders the mountains from the peak with the lowest height to the peak with the highest height?

A certain university has three dining halls—A, B, and C—that serve a variety of dessert dishes. Steven went to each dining hall on a specific day and counted the number of dessert dishes that were being served and classified them as cookie, cake, pie, brownie, or ice cream. The graph shows the relative frequency distribution of the type of dessert dishes being served at each dining hall.

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Which of the following statements must be true?

A club at a high school will sell candy bars for a school fund-raiser. In past school years, the club has been able to sell thousands of candy bars. Some candy bars have tickets under the wrapper that can be redeemed for a prize, and others do not. The probability of a randomly selected candy bar containing as ticket is 0.11. Kendra will purchase and unwrap one candy bar at a time until she finds a ticket. Which of the following is closest to the probability that Kendra will purchase or fewer candy bars?

A college offers both two-year and four-year programs of study. An administrator at the college is investigating whether there is an association between the program of study and the length of the program. A random sample of students in all programs offered by the college was selected. All randomly selected students indicated their program of study and the length of the program. The results obtained are shown in the table.

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The administrator wants to test the following hypotheses.
$$H_0$$: There is no association between the program of study and length of the program.
$$H_a$$: There is no association between the program of study and length of the program.
Assuming the conditions for inference have been met, the resulting test statistic was 13.23.
At the 1 percent level of significance, which of the following is an appropriate conclusion of the test?

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