2014 AP Statistics統計學真題系列之簡答題免費下載

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2014 AP Statistics Free-Response Questions Free Download

2014 AP統計學簡答題部分免費下載

此套題共計1小時30分鐘，共6題

占總分50%

每道大題可能含有不同數量的小題

其中Part A建議用時1小時05分鐘，共5題，占Section II總分75%

Part B建議用時25分鐘，共1題，占Section II總分25%

可以使用圖形計算器

考試時會提供常用公式表

完整版下載鏈接見文末

部分真題預覽：

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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