2019年AP统计学简答题真题+答案+PDF下载
1. The sizes, in square feet, of the 20 rooms in a student residence hall at a certain university are summarized in the following histogram.
(a) Based on the histogram, write a few sentences describing the distribution of room size in the residence hall.
(b) Summary statistics for the sizes are given in the following table.
Determine whether there are potential outliers in the data. Then use the following grid to sketch a boxplot of room size.
(c) What characteristic of the shape of the distribution of room size is apparent from the histogram but not from the boxplot?
2. Researchers are investigating the effectiveness of using a fungus to control the spread of an insect that destroys trees. The researchers will create four different concentrations of fungus mixtures: 0 milliliters per liter (ml/L), 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L. An equal number of the insects will be placed into 20 individual containers. The group of insects in each container will be sprayed with one of the four mixtures, and the researchers will record the number of insects that are still alive in each container one week after spraying.
(a) Identify the treatments, experimental units, and response variable of the experiment.
Treatments:
Experimental units:
Response variable:
(b) Does the experiment have a control group? Explain your answer.
(c) Describe how the treatments can be randomly assigned to the experimental units so that each treatment has the same number of units.
3. A medical researcher surveyed a large group of men and women about whether they take medicine as prescribed. The responses were categorized as never, sometimes, or always. The relative frequency of each category is shown in the table.
(a) One person from those surveyed will be selected at random.
(i) What is the probability that the person selected will be someone whose response is never and who is a woman?
(ii) What is the probability that the person selected will be someone whose response is never or who is a woman?
(iii) What is the probability that the person selected will be someone whose response is never given that the person is a woman?
(b) For the people surveyed, are the events of being a person whose response is never and being a woman independent? Justify your answer.
(c) Assume that, in a large population, the probability that a person will always take medicine as prescribed is 0.54. If 5 people are selected at random from the population, what is the probability that at least 4 of the people selected will always take medicine as prescribed? Support your answer.
2019年AP统计学简答题真题余下省略！
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