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2009 AP Statistics统计学真题系列（Form B）之简答题免费下载

Category: AP课程, 国际课程, 福利干货 Date: 2018年9月26日下午4:24

历年AP Statistics统计学系列

真题与答案下载

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2009 AP Statistics (Form B) Free-Response Questions Free Download

2009 AP统计学(Form B)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）As gasoline prices have increased in recent years, many drivers have expressed concern about the taxes they pay on gasoline for their cars. In the United States, gasoline taxes are imposed by both the federal government and by individual states. The boxplot below shows the distribution of the state gasoline taxes, in cents per gallon, for all 50 states on January 1, 2006. 2009国际课程AP Statistics统计学真题与答案下载

Based on the boxplot, what are the approximate values of the median and the interquartile range of the distribution of state gasoline taxes, in cents per gallon? Mark and label the boxplot to indicate how you found the approximated values.
The federal tax imposed on gasoline was 18.4 cents per gallon at the time the state taxes were in effect. The federal gasoline tax was added to the state gasoline tax for each state to create a new distribution of combined gasoline taxes. What are approximate values, in cents per gallon, of the median and interquartile range of the new distribution of combined gasoline taxes? Justify your answer.

Part B：

6) Two treatments, A and B, showed promise for treating a potentially fatal disease. A randomized experiment was conducted to determine whether there is a significant difference in the survival rate between patients who receive treatment A and those who receive treatment B. Of 154 patients who received treatment A, 38 survived for at least 15 years, whereas 16 of the 164 patients who received treatment B survived at least 15 years.

Treatment A can be administered only as a pill, and treatment B can be administered only as an injection. Can this randomized experiment be performed as a double-blind experiment? Why or why not?
The conditions for inference have been met. Construct and interpret a 95 percent confidence interval for the difference between the proportion of the population who would survive at least 15 years if given treatment A and the proportion of the population who would survive at least 15 years if given treatment B.
In many of these types of studies, physicians are interested in the ratio of survival probabilities, P_A/P_B, where p_A represents the true 15-year survival rate for all patients who receive treatment A and p_B represents the true 15-year survival rate for all patients who receive treatment B. This ratio is usually referred to as the relative risk of the two treatments.
For example, a relative risk of 1 indicates the survival rates for patients receiving the two treatments are equal, whereas a relative risk of 1.5 indicates that the survival rate for patients receiving treatment A is 50 percent higher than the survival rate for patients receiving treatment B. An estimator of the relative risk is the ratio of estimated probabilities,