2016年AP统计学简答题真题+答案+PDF下载
1. Robin works as a server in a small restaurant, where she can earn a tip (extra money) from each customer she serves. The histogram below shows the distribution of her 60 tip amounts for one day of work.
(a) Write a few sentences to describe the distribution of tip amounts for the day shown.
(b) One of the tip amounts was $8. If the $8 tip had been $18, what effect would the increase have had on the following statistics? Justify your answers.
The mean:
The median:
2. Product advertisers studied the effects of television ads on children’s choices for two new snacks. The advertisers used two 30-second television ads in an experiment. One ad was for a new sugary snack called Choco-Zuties, and the other ad was for a new healthy snack called Apple-Zuties.
For the experiment, 75 children were randomly assigned to one of three groups, A, B, or C. Each child individually watched a 30-minute television program that was interrupted for 5 minutes of advertising. The advertising was the same for each group with the following exceptions.
The advertising for group A included the Choco-Zuties ad but not the Apple-Zuties ad.
The advertising for group B included the Apple-Zuties ad but not the Choco-Zuties ad.
The advertising for group C included neither the Choco-Zuties ad nor the Apple-Zuties ad.
After the program, the children were offered a choice between the two snacks. The table below summarizes their choices.
(a) Do the data provide convincing statistical evidence that there is an association between type of ad and children’s choice of snack among all children similar to those who participated in the experiment?
(b) Write a few sentences describing the effect of each ad on children’s choice of snack.
3. Alzheimer’s disease results in a loss of cognitive ability beyond what is expected with typical aging. A local newspaper published an article with the following headline.
Study Finds Strong Association Between Smoking and Alzheimer’s
The article reported that a study tracked the medical histories of 21,123 men and women for 23 years. The article stated that, for those who smoked at least two packs of cigarettes a day, the risk of developing Alzheimer’s disease was 2.57 times the risk for those who did not smoke.
(a) Identify the explanatory and response variables in the study.
Explanatory variable:
Response variable:
(b) Is the study described in the article an observational study or an experiment? Explain.
(c) Exercise status (regular weekly exercise versus no regular weekly exercise) was mentioned in the article as a possible confounding variable. Explain how exercise status could be a confounding variable in the study.
2016年AP统计学简答题真题余下省略！
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