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2020 Exam

Sample

Question

AP? STATISTICS

Note: This is an example of 2020 Question 2, a multi-focus

free-response item with allotted time of 15 minutes

(plus 5 minutes to submit).

Question 1 is a longer multi-focus free-response item, with

allotted time of 25 minutes (plus 5 minutes to submit).

Question 2

Allotted time: 15 minutes (plus 5 minutes to submit)

Students at an agricultural station conducted a study to compare genetically

modified (GM) corn with regular corn. Each of 33 plots of land was divided into

two half-plots; one half-plot was randomly selected to be planted with the GM

corn, and the other half-plot was planted with the regular corn.

The table shows summary statistics for the yields, in bushels per acre, and the

difference in yield (GM minus regular) for each plot.

Standard

Mean Deviation n Minimum Q1 Median Q3 Maximum

GM 125.018 13.623 33 107.4 111.9 127.5 138.0 144.0

Regular 120.482 10.321 33 102.9 111.0 119.4 129.0 133.5

Difference 4.536 6.444 33 -2.1 -0.9 3.0 6.0 20.1

(a) Explain why the yields from one type of corn are not independent of the

yields from the other type of corn.

(b) Based on the summary statistics, would it be more likely to obtain a yield

of 123 or more bushels per acre from a plot of GM corn or a plot of regular

corn? Justify your answer.

A boxplot of the differences in yield is shown below.

Difference in yield (bushels per acre, GM minus regular)

(c) Describe the distribution of the differences.

AP Statistics2020 Exam|Sample Question 2

The students conducted a test of the hypotheses

H0 : ?d = 0

Ha : ?d 0,

where ?d is the population mean difference (GM minus regular) in yield, in

bushels per acre, for plots similar to those used in the study. The conditions for

inference have been met.

(d) One of the conditions for inference that was met is that the sample size of

the differences is greater than 30. Explain why it is necessary to satisfy this

condition.

(e) The test resulted in a p-value of 0.0003. Based on the p-value, what

conclusion should the students make?

AP Statistics2020 Exam|Sample Question 3

Is it worth it to take AP Statistics? The AP® Statistics Exam is no easier than any other AP Exam. In general, taking an AP® Statistics class is a challenge, but well worth the effort in the long run. And if you have already invested the time and energy to taking an AP Stats class, it would be a waste not to buckle up and take the AP Stats Exam.

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