Chapter 12: Q. AP4.40 (page 834)
AP4.40 The table provides data on the political affiliation and opinion about the death penalty of 850 randomly selected voters from a congressional district.
a.
b.
c.
d.
e.
The correct answer is option (b) .
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Exercises T12.4–T12.8 refer to the following setting. An old saying in golf is “You drive for show and you putt for dough.” The point is that good putting is more important than long driving for shooting low scores and hence winning money. To see if this is the case, data from a random sample of 69 of the nearly 1000 players on the PGA Tour’s world money list are examined. The average number of putts per hole (fewer is better) and the player’s total winnings for the previous season are recorded and a least-squares regression line was fitted to the data. Assume the conditions for
inference about the slope are met. Here is computer output from the regression analysis:
T12.5 Suppose that the researchers test the hypotheses versus
. Which of the following is the value of the t statistic for this
a. 2.61
b. −2.44
c. 2.44
d. −20.24
e. 0.081
Western lowland gorillas, whose main habitat is in central Africa, have a mean weight of pounds with a standard deviation of pounds. Capuchin monkeys, whose main habitat is Brazil and other parts of Latin America, have a mean weight of pounds with a standard deviation of pounds. Both distributions of weight are approximately Normally distributed. If a particular western lowland gorilla is known to weigh pounds, approximately how much would a capuchin monkey have to weigh, in pounds, to have the same standardized weight as the gorilla?
a.
b.
c.
d.
e. There is not enough information to determine the weight of a capuchin monkey.
Heart weights of mammals Here are some data on the hearts of various mammals:
a. Make an appropriate scatterplot for predicting heart weight from length. Describe what you see.
b. Use transformations to linearize the relationship. Does the relationship between heart weight and length seem to follow an exponential model or a power model? Justify your answer.
c. Perform least-squares regression on the transformed data. Give the equation of your regression line. Define any variables you use.
d. Use your model from part (c) to predict the heart weight of a human who has a left ventricle cm long.
A survey firm wants to ask a random sample of adults in Ohio if they support an increase in the state sales tax from to , with the additional revenue going to education. Let denote the proportion in the sample who say that they support the increase. Suppose that of all adults in Ohio support the increase. If the survey firm wants the standard deviation of the sampling distribution of to equal how large a sample size is needed?
a.
b.
c.
d.
e.
About high school teachers attended a weeklong summer institute for teaching AP Statistics classes. After learning of the survey described in Exercise 56, the teachers in the AP Statistics class wondered whether the results of the tattoo survey would be similar for teachers. They designed a survey to find out. The class opted to take a random sample of teachers at the institute. One of the first decisions the class had to make was what kind of sampling method to use.
a. They knew that a simple random sample was the “preferred” method. With teachers in different sessions, the class decided not to use an SRS. Give at least two reasons why you think they made this decision.
b. The AP Statistics class believed that there might be systematic differences in the proportions of teachers who had tattoos based on the subject areas that they taught. What sampling method would you recommend to account for this possibility? Explain a statistical advantage of this method over an SRS.
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