2022 统计 ap stats 2022_在线真题试卷与模拟练习_2022 统计 ap stats 2022

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For a random sample of 50 newborn Holstein calves from the United States, the mean weight was 80 pounds and the standard deviation was 6 pounds. In order to compare these findings with those of other countries, an agricultural engineer converted the measured calf weights from pounds to kilograms by multiplying each weight by 0.454. What are the mean and standard deviation of the converted weights of the 50 newborn Holstein calves?

The distribution of housing prices in a city includes several outliers at the upper end of the distribution and no outliers at the lower end of the distribution. Which of the following is the most resistant, or robust, measure of center of the distribution of housing prices?

A study reported that 14 percent of cars registered in 2015 had a manual transmission. An automotive researcher collected data on cars registered in 2021 to investigate whether the proportion of registered cars with a manual transmission is less than 0.14. The researcher took a random sample of 150 cars registered in 2021 and found 18 of the cars had a manual transmission. After ensuring the conditions for inference were met, the researcher conducted an appropriate hypothesis test and calculated a p-value of 0.24. At the 5 percent level of significance, which of the following conclusions should be made?

For which of the following distributions is the proportion of values between 900 and 1,000 the greatest?

An owner of a novelty business operates both an online store and a retail store. The owner took a random sample of 50 sales from each store during the past year and recorded the purchase amount of each sale. Summary statistics are shown in the following table.

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Assuming the conditions for inference were met, the owner calculated a 95 percent confidence interval for the difference in mean purchase amounts (online minus retail) as (＄11.55,＄19.05).
Which of the following is an appropriate interpretation of the 95 percent confidence interval?

On-base percentage plus slugging (OPS) is a statistic used in baseball to measure a team's batting success. The number of runs scored and OPS for 30 baseball teams was used to conduct a linear regression analysis. The scatterplot and computer output for the regression analysis is shown below.

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Which of the following is the most appropriate interpretation of the statistic 93.47% in the regression output?

A paint manufacturer conducted an experiment to investigate whether a new formula produces paint that lasts longer on the exterior of a building than paint produced using an older formula. A grid of 20 squares was drawn on one side of an exterior wall of a building. The new formula was randomly assigned to 10 squares, and the older formula was assigned to the remaining 10 squares. Each square was painted with the assigned formula. One year later, each square was rated on how well the paint had lasted, using a numerical scale for which larger values indicated longer-lasting paint. Which of the following best describes the design of the experiment?

A 95 percent confidence interval for the proportion of parents who use parental controls for blocking, filtering, or monitoring their teenagers' online activities is (0.36,0.42). Which of the following could be a 99 percent confidence interval based on the same data?

Luisa is a manager at a pet insurance company with many customers. Sixty percent of the company's customers filed claims in the past year. Luisa will randomly select 12 customers from all the company's customers.
Assuming the customers selected are independent of each other, which of the following is closest to the probability that more than 2 of the 12 customers sampled did not file claims in the past year?

A veterinarian interested in pet nutrition surveyed owners of a single pet (either a dog, a cat, or a ferret) to ask whether they feed their pet primarily dry pet food, canned pet food, or home-cooked food. The following segmented bar graph shows the distribution of the three types of food for each type of pet.

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Which of the following statements about pet owners in the survey is supported by the segmented bar graph?

For a middle school science project, Jalen measured the pH of 25 vinegar products. The summary statistics for the values of the pH are shown in the following computer output.

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Based on the $$1.5 \times IQR$$ rule for outliers, which of the following statements is true?

The boxplot summarizes the reading rates, in words per minute (wpm), for 160 elementary school students.

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Based on the boxplot, which of the following statements is not true for the data set?

A biomedical scientist from a major research university suggested that students should always ask for help when it is needed. A science teacher decided to investigate whether some students are more likely to ask for help than others. The teacher randomly selected 200 students from a Biology II course and gave them directions for a short lab procedure that were purposefully unclear. For each student, the teacher recorded whether the student asked for clarification and the grade the student earned, A, B, or C, in the preceding Biology I course. Results are listed in the following table.

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The value of the test statistic for the appropriate chi-square test is approximately 8.25. Assume the conditions for inference were met. Do the sample data provide convincing statistical evidence of an association between grade in the preceding Biology I course and whether a student asks for clarification at the 5 percent level of significance?

The tail length of Siberian tigers is approximately normally distributed with a mean of 0.85 meter and a standard deviation of 0.13 meter. Which of the following is the best interpretation of the z-score for a particular Siberian tiger with a tail length of 0.8 meter?

A common measure of flexibility is the sit-and-reach test, where a person sits on the floor with legs straight in front. The person then reaches as far forward as possible, and the distance reached past the feet is recorded. The histograms summarize the results of the sit-and-reach test for two groups, young adult men and middle-aged men. Negative distances represent a reach that is not as far as the feet.

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Which of the following statements is the best description of the distributions of distances?

The yields, in bushels per acre, of soybeans for 25 randomly selected counties in the midwestern region of the country in 2016 are summarized in the table.

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Assuming all conditions for inference are met, which of the following is a 99 percent confidence interval for the population mean yield of soybeans for all counties in the midwestern region in 2016?

Ming is learning the game of tennis and will practice serving a tennis ball within bounds. Assume that the probability of Ming serving a tennis ball within bounds is 0.40 and that her serves are independent of each other. What is the probability that the first time Ming serves a tennis ball within bounds will occur on her 4th attempt?

Caleb designed an experiment to investigate whether listening to music or chewing gum affects the time to complete a level of a certain video game. Before the game started, each person in a sample was randomly assigned to either listen to music or not listen to music. Each person was also randomly assigned to either chew gum or not chew gum. At the end of the game, the time to complete the level for each person in the sample was recorded. Which of the following correctly identifies the response variable of the experiment and whether the variable is categorical or quantitative?

For a particular video game, Ariana's mean number of points earned per game is 190, and the standard deviation is 40. Suppose that she plays 50 games in one evening, and her goal is to obtain a mean score of at least 200 for the 50 games. How many standard deviations above 190 is her goal?

The distribution of weight of a small watermelon is known to have a mean of 5 pounds and a standard deviation of 1.2 pounds. Six small watermelons fit in a crate, and the crate weighs exactly 1 pound. Assuming the weights of small watermelons are independent, what is the standard deviation of the total weight of a random sample of 6 small watermelons and the crate?

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