AP统计 2021_在线真题试卷与模拟练习_AP统计 2021

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In 2011, the Gallup polling organization selected random samples of residents from each of the 27 countries in the European Union and found the percentage of residents in each country who consider themselves to be thriving. The 27 percentages are shown in the stemplot. What is the interquartile range for this data set?

The final scores for 309 participants in a national golf tournament are summarized in the following table.

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Which of the following is closest to the z-score of the minimum golf score?

A random sample of middle school students from District 1 and a random sample of middle school students from District 2 were selected with an even number of students in each sample. The number of minutes each student spent playing a certain mobile game application in a typical day was recorded. The data are summarized in the following table.

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If no two students within each district spent the same amount of time playing the mobile game application, which statement must be true?

The boxplot shown summarizes the 100 highest salaries for municipal employees in a large city.

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A new municipal employee was hired and was told that the salary would be within the middle 50 percent of the current 100 highest salaries. Based on the boxplot, which of the following is closest to the width of the interval in which the new employee’s salary will fall?

Students in a physics class designed an experiment to investigate the effect of blade width on flight time for paper helicopters. A histogram of the flight times, in seconds, and a scatterplot of flight time versus blade width, in centimeters (cm), are shown for 25 helicopters.

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Which of the following best describes the clusters and the gap in the histogram?

A company conducted a charity drive and recorded the donations made by the employees of two departments, A and B. The back-to-back stemplot below shows the amounts given by the employees from department A and the amounts given by the employees from department B.

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Based on the back-to-back stemplot, which of the following is correct?

A realtor collected data from a random sample of 29 houses for sale in a certain town. The scatterplot shows the size of each house, in square feet, and the asking price, in thousands of dollars. The least-squares regression line is also shown.

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Based on the recorded data, the realtor created the following regression equation to predict asking price, in thousands of dollars, based on the size, in square feet, of the house.

predicted asking price = 35.050 + 0.096(size of house)

Which of the following provides the best interpretation of the slope of the regression line?

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An engineering student collected data on the maximum height, in feet, and maximum speed, in miles per hour, of thirteen roller coasters. A scatterplot of the data and the least-squares regression line are shown. The maximum heights of five of the roller coasters are 60, 105, 150, 200, and 215 feet.

If the least-squares regression line is used to predict the maximum speed for the five roller coasters, for which maximum height, in feet, would the absolute value of the residual be largest?

One condition for inference for slope of a regression line is that the standard deviation of the response variable does not vary with the explanatory variable. Which of the following scatterplots most likely exhibits a violation of that condition?

A certain state law requires residential properties to receive an appraisal for tax purposes every six years. A random sample of 25 appraised properties was selected. The following scatterplot shows the value of the properties, in thousands of dollars, before and after the appraisal. Also shown is the least-squares regression line and corresponding computer output.
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Which of the following is not an appropriate description of the data in the sample?

A medical researcher conducted a study to investigate the effectiveness of two drugs, L and M, designed to reduce the number of seizures that people with epilepsy might have. Each person in a group of 120 adult volunteers who had epilepsy was randomly assigned to one of two groups. Those assigned to one group took drug L for one year, and those assigned to the other group took drug M for one year. Each participant recorded the number of seizures that occurred during the year. To which group is it most reasonable to generalize the results of this study?

Researchers conducted a study to investigate whether watching an outdoor scene while exercising improves health more than exercise alone. Fourteen fifth-grade students participated in two trials of the study. For one trial, the students rode a stationary bicycle for 15 minutes while watching a video of someone cycling through a forest. For the other trial, the students rode a stationary bicycle for 15 minutes without watching a video. Each student completed both trials in a randomized order. The researchers recorded the students' heart rates after each trial. Which of the following is the best description of the study?

A new laser-guided surgical procedure for removing an inflamed appendix is believed to have a shorter recovery time for patients than an alternative surgical procedure that is not guided by laser has. In an experiment to evaluate recovery time, patients needing the surgery will be randomly assigned to one of two surgical procedures. A surgeon will perform the surgery for one group using lasers and for the other group without the use of lasers. Both types of surgeries are performed with similarly sized incisions and patients are unaware of which procedure is performed. What type of blinding can be accomplished in the experiment?

A medical researcher is interested in assessing the effectiveness of a new medication for pain relief. Three hundred volunteers will be randomly assigned to groups. One group will receive the new medication at a low dose, one group will receive the new medication at a high dose, and one group will receive a placebo that looks like the new medication but does not contain any active ingredients. Each person will be asked to rate his or her level of pain at the beginning of the experiment and again two hours after taking the medication or placebo. What is the number of treatments for this experiment?

The height requirement for a certain ride at an amusement park is 48 inches or taller. The distribution of height of six-year-old children is approximately normal with mean 45.2 inches and standard deviation 1.75 inches. Which of the following is closest to the probability that a randomly selected six-year-old child will not meet the height requirement for the ride?

A manufacturer of a certain item knows that 1 percent of the items produced on a certain assembly line are defective. Suppose that 100 items produced on that assembly line will be selected at random.
Which of the following expressions represents the probability that 3 of the 100 items selected will be defective?

The distribution of sale price for a certain model of car is approximately normal with mean ＄22,500 and standard deviation ＄600.
Based on the distribution, which statement must be true?

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The probability distribution of the number of cookies sold by a store each day is shown in the table. The store earns a profit of $0.50 per cookie sold.
What is the store's expected daily profit for the sales of the cookies?

An elevator has a posted weight limit of 4,200 pounds and an occupancy limit of 21 people. If the weights of adult males are approximately normally distributed with $$\mu = 190$$ pounds and $$\sigma = 32$$ pounds, which of the following best approximates the probability that a random sample of 21 adult males will exceed the posted weight limit of the elevator?

Clark drives through two traffic lights on his way to work each day. From experience, he estimates that the probability that the first light will be red when he reaches it is 0.3. He also estimates that the probability that the second light will be red when he reaches it is 0.45. The lights are far enough apart that they can be considered to operate independently of each other.
Based on Clark’s estimates, what is the probability that at least one of the two lights will be red on a randomly selected drive to work?

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