2015 AP Statistics统计学真题系列之简答题免费下载

历年AP Statistics统计学系列

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2015 AP Statistics Free-Response Questions Free Download

2015 AP统计学简答题部分免费下载

此套题共计1小时30分钟，共6题

占总分50%

每道大题可能含有不同数量的小题

其中Part A建议用时1小时05分钟，共5题，占Section II总分75%

Part B建议用时25分钟，共1题，占Section II总分25%

可以使用图形计算器

考试时会提供常用公式表

完整版下载链接见文末

部分真题预览：

Part A： 1）Two large corporations, A and B, hire many new college graduates as accountants at entry-level positions. In 2009 the starting salary for an entry-level accountant position was $36,000 a year at both corporations. At each corporation, data were collected from 30 employees who were hired in 2009 as entry-level accountants and were still employed at the corporation five years later. The yearly salaries of the 60 employees in 2014 are summarized in the boxplots below.

1. Write a few sentences comparing the distributions of the yearly salaries at the two corporations.
2. Suppose both corporations offered you a job for $36,000 a year as an entry-level accountant.
   1. Based on the boxplots, give one reason why you might choose to accept the job at corporation A.
   2. Based on the boxplots, give one reason why you might choose to accept the job at corporation B.

Part B： 6)Corn tortillas are made at a large facility that produces 100,000 tortillas per day on each of its two production lines. The distribution of the diameters of the tortillas produced on production line A is approximately normal with mean 5.9 inches, and the distribution of the diameters of the tortillas produced on production line B is approximately normal with mean 6.1 inches. The figure below shows the distributions of diameters for the two production lines. The tortillas produced at the factory are advertised as having a diameter of 6 inches. For the purpose of quality control, a sample of 200 tortillas is selected and the diameters are measured. From the sample of 200 tortillas, the manager of the facility wants to estimate the mean diameter, in inches, of the 200,000 tortillas produced on a given day. Two sampling methods have been proposed.

• Method 1: Take a random sample of 200 tortillas from the 200,000 tortillas produced on a given day. Measure the diameter of each selected tortilla.
• Method 2: Randomly select one of the two production lines on a given day. Take a random sample of 200 tortillas from the 100,000 tortillas produced by the selected production line. Measure the diameter of each selected tortilla.

1. Will a sample obtained using Method 2 be representative of the population of all tortillas made that day,
   with respect to the diameters of the tortillas? Explain why or why not.

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