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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A wildlife scientist investigating the percentage of baby elephants in a certain country that can stand on their hind legs to reach food. Previous wildlife studies have found that 20 percent of baby elephants from the country can stand on their hind legs. Let G represent the number of baby elephants from a random sample of 60 bay elephants in the country that can stand on their hind legs. Which of following is the best interpretation of the expression P（G＝12）？

A health magazine indicated that a new supplement may reduce heartburn better than the current supplement. To investigate the claim, researchers obtained a random sample of 100 people who suffer from heartburn. After randomly assigning each person to one of two groups, the researchers gave one group the new supplement and the other group the current supplement. Of those who received the new supplement, 25 reported experiencing heartburn, and of those who received the current supplement, 35 reported experiencing heartburn. Which of the following best describes the investigation?

A candidate running for mayor of a city claims that more than 60 percent of the registered voters of the city favor building a new park. From a survey of 500 registered voters, s newspaper reporter found that 316 favored building a new park. Which of the following is most appropriate for testing the claim of the candidate running for mayor?

A simple random sample of 50 gymnasts of a similar skill level were asked to participate in a study that would take place during a regional gymnastics clinic. Gymnasts often use chalk to reduce moisture on their hands when gripping gymnastics equipment. At the clinic, the gymnasts were allowed to pick one of two types of chalk to use : 27 gymnasts chose to use chalk A, while the remaining 23 gymnasts chose to use chalk B. At the completion of the clinic, gymnasts rated the quality of the chalk they chose from 1 to 10, with 10 being the highest quality. The results of those ratings suggested that gymnasts rated chalk B as better to use than chalk A for gripping gymnastics equipment. Which of the following is absent from the experiment and must be included in order to have a well-designed experiment?

The back-to-back stemplot shows the list prices for a random sample of 26 new math textbooks and another random sample of 26 new science textbooks at a major university.

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Based on the back-to-back stemplot, which of the following statements about the textbook prices must be true?

A researcher selected a random sample of individuals with a certain disease to estimate the proportion of all individuals with the disease who have a certain gene mutation. Data from the random sample were used to construct a 95 percent confidence interval for the proportion of all individuals with the disease who have the gene mutation. The 95 percent confidence interval was (0.12, 0.36) . Which of the following could have been a 90 percent confidence interval based on the same sample data?

According to a certain pet association, 67 percent of households own a pet. Jameel, a student in a statistics class, wants to investigate whether a greater percentage of households with students from his school own a pet. Jameel will conduct a study by surveying s simple random sample of households with students from his school. Let P represent the proportion of all households with students from Jameel's school who own a pet. Which of the following is an appropriate alternative hypothesis for Jameel's investigation?

A large movie theater franchise rewards Movie Club members who attend a show during the month of their birthday with a discount on items purchased from the theater's snack bar. Assume that 52.5 percent of all Movie Club members will use the birthday reward. Suppose a manager at the franchise will survey a random sample of 40 Movie Club members who are celebrating a birthday next month. The manager will ask each member whether they will take advantage of the birthday reward. Let $$\hat{p}$$ be the proportion of members in the sample who say they will take advantage of the birthday reward during the month of their birthday. The franchise wants to verify the normality of the sampling distribution of $$\hat{p}$$. Which of the following statements provides the most appropriate justification for the approximate normality of the sampling distribution of $$\hat{p}$$?

The delivery times for a local food-delivery service are approximately normally distributed with a mean of 50 minutes and a standard deviation of 10 minutes. Any customer who must wait more than 60 minutes for their delivery will receive a coupon for 50 percent off their next order. If 30 customers are randomly selected from all customers who purchased food from the delivery service, then the probability that at least 2 of the customers will have to wait more than 60 minutes and receive a coupon is closest to which of the following?

A study about robins, a type of bird, was conducted to compare the mean number of eggs laid by robins in metal nest boxes to the mean number of eggs laid by robins in wood nest boxes. The results of the study are summarized in the table.

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Let $$\mu_M$$ represent the mean number of eggs laid by robins in metal nest boxes for robins similar to those in the study. Let $$\mu_W$$ represent the mean number of eggs laid by robins in wood nest boxes for robins similar to those in the study. A two-sample t-test for a difference of population means was conducted for the hypotheses $$H_0: \mu_M = \mu_W$$ versus $$H_a: \mu_M \neq \mu_W$$.
Assume the conditions for inference have been met. At the 10 percent level of significance, which of the following can be concluded?

According to a report, 44 percent of adults indicate that they wash their bedsheets at least once per week. A random sample of 1,000 adults will be selected. Assuming the report is correct, what is the probability that at least 650 adults from the sample will indicate that they wash their bedsheets at least once per week?

A local park has a trail where hawks, large predatory birds, are regularly spotted. Let random variable X represent the number of hawks spotted in a randomly selected day from the trail. The probability distribution for X, based on data collected over several years, is shown in the table.

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Based on this probability distribution, the expected number of hawks spotted in a day from the trail is 1.6 hawks.
Which of the following is closest to the standard deviation for the number of hawks spotted in a day from the trail?

A veterinary student is conducting an experiment to see whether using a certain medication can reduce symptoms of arthritis in rabbits. Arthritis is a condition that makes it difficult for rabbits to use one or more of their limbs. The severity of the arthritis will be based on an evaluation of each rabbit by a veterinarian who does not know whether the rabbits received medicine. Twenty rabbits of different sizes, each with arthritis in one or more limbs, will be randomly assigned to receive medicine or no medicine. The veterinary student believes larger rabbits may respond better to the medicine than smaller rabbits will.
Of the following, which experimental design would be best for the veterinary student to use?

A film student was interested in whether there was a difference in the mean file sizes of all movie downloads from a popular streaming service for two genres-comedy and drama.The film student selected a random sample of comedy movies and a random sample of drama movies from the streaming service. The summary statistics are shown in the table.

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In a 95 percent confidence interval,which of the following is the standard error of the difference of the two sample means between all comedy movie downloads and all drama movie downloads from the streaming service?

In a certain restaurant, 70 percent of the customers order a drink other than water and 44 percent of the customers order dessert. Of the customers who order a drink other than water, 58 percent order dessert.

If one customer from the restaurant is selected at random, which of the following is closest to the probability that the customer ordered a drink other than water and did not order dessert?

Ashton will construct a 95 percent confidence interval to estimate the proportion of all drivers in his community who would indicate that they find it unacceptable that other drivers talk on a phone at any time while driving.

Of the following which is the least number of drivers in the community who should be surveyed such that the margin of error of the 95 percent confidence interval will be no greater than 5 percentage points?

The California condor is an endangered bird species. One reason the species is endangered is because of lead poisoning. It is costly and time-consuming to use lab testing to , measure lead levels of condors. However, lab testing is not necessary if testing for lead in the wild is accurate. A biologist is interested in investigating the accuracy pf lead level measurements taken in the wild. The biologist measured the lead level, in micrograms (mcg) , for 14 California condors both in the wild and in the lab.
The scatterplot and least-squares regression line for predicting the lead level in the lab based on the lead level in the wild are shown. Five points are labeled.

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Which of the labeled points has a predicted lead level in the lab that is between 20 mcg and 40 mcg and has a positive residual?

An Internet service provider wants to know whether its customers would upgrade to a new Internet service. The Internet service provider collected data from a random sample of its customers. The customers in the sample indicated whether they were interested in the upgrade. Based on the sample data, a hypothesis test found convincing statistical evidence at the 5 percent level of significance that the proportion of customers who would upgrade to the new internet service is less than 0.40. Which of the following must be true for an inference procedure that uses the same sample data?

The weights of 100 cats at a veterinary clinic were recorded. Summary statistics for the weights of the 100 cats, in pounds, are shown in the table.

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The weights of the 100 cats were converted from pounds to kilograms, and 1 pound is approximately equal to 0.45 kilogram.
Which of the following statistics would not have a different numerical value for the weights in kilograms?

An owner of a large number of car dealerships is concerned that salespeople's time using technology (cell phones and computers) for personal use during work hours is negatively affecting car sales. The owner collected data for 54 randomly selected salespeople. The scatterplot for the linear regression analysis predicting mean unit sales per week from mean time using technology for personal use during work hours, in minutes per day, is shown.

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Assuming the conditions for inference have been met, a 95 percent confidence interval for the slope of the population regression line was found to be $$(-0.0525, -0.0124)$$.

Which of the following conclusions is supported by the interval?

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