2014 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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2014 AP Statistics Free-Response Questions Free Download

2014 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）An administrator at a large university is interested in determining whether the residential status of a student is associated with level of participation in extracurricular activities. Residential status is categorized as on campus for students living in university housing and off campus otherwise. A simple random sample of 100 students in the university was taken, and each student was asked the following two questions.

• Are you an on campus student or an off campus student?
• In how many extracurricular activities do you participate?

The responses of the 100 students are summarized in the frequency table shown.

1. Calculate the proportion of on campus students in the sample who participate in at least one extracurricular activity and the proportion of off campus students in the sample who participate in at least one extracurricular activity.
   On campus proportion:
   Off campus proportion:
   The responses of the 100 students are summarized in the segmented bar graph shown.
2. Write a few sentences summarizing what the graph reveals about the association between residential status and level of participation in extracurricular activities among the 100 students in the sample.
3. After verifying that the conditions for inference were satisfied, the administrator performed a chi-square test of the following hypotheses.
   H₀: There is no association between residential status and level of participation in extracurricular activities among the students at the university.
   H_a: There is an association between residential status and level of participation in extracurricular activities among the students at the university.
   The test resulted in a p-value of 0.23. Based on the p-value, what conclusion should the administrator make?

Part B：

6) Jamal is researching the characteristics of a car that might be useful in predicting the fuel consumption rate (FCR); that is, the number of gallons of gasoline that the car requires to travel 100 miles under conditions of typical city driving. The length of a car is one explanatory variable that can be used to predict FCR. Graph I is a scatterplot showing the lengths of 66 cars plotted with the corresponding FCR. One point on the graph is labeled A.

Jamal examined the scatterplot and determined that a linear model would be a reasonable way to express the relationship between FCR and length. A computer output from a linear regression is shown below.

Linear Fit
FCR = -1.595789 + 0.0372614 * length
Summary of Fit
RSquare                                               0.250401
Root Mean Square Error                   0.902382
Observations                                      66

1. The point on the graph labeled A represents one car of length 175 inches and an FCR of 5.88. Calculate and interpret the residual for the car relative to the least squares regression line.

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