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Chapter 10: Q.70 (page 659)
The two-sample t statistic for the road rage study (male mean minus female mean) is . The P-value for testing the hypotheses from the previous exercise satisfies
(a) .
(b) .
(c) .
(d) .
(e) .
The correct option is (b).
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Mrs. Woods and Mrs. Bryan are avid vegetable gardeners. They use different fertilizers, and each claims that hers is the best fertilizer to use when growing tomatoes. Both agree to do a study using the weight of their tomatoes as the response variable. They had each planted the same varieties of tomatoes on the same day and fertilized the plants on the same schedule throughout the growing season. At harvest time, they each randomly select tomatoes from their respective gardens and weigh them. After performing a two-sample t-test on the difference in mean weights of tomatoes, they get and . Can the gardener with the larger mean claim that her fertilizer caused her tomatoes to be heavier?
(a) No, because the soil conditions in the two gardens is a potential confounding variable.
(b) No, because there was no replication.
(c) Yes, because a different fertilizer was used on each garden.
(d) Yes, because random samples were taken from each garden.
A surprising number of young adults (ages to ) still live in their parents’ homes. A random sample by the National Institutes of Health included men and women in this age group. The survey found that of the men and of the women lived with their parents.
(a) Construct and interpret a confidence interval for the difference in population proportions (men minus women).
(b) Does your interval from part (a) give convincing evidence of a difference between the population proportions? Explain.
Thirty-five people from a random sample of workers from Company A admitted to using sick leave when they weren’t really ill. Seventeen employees from a random sample of workers from Company B admitted that they had used sick leave when they weren’t ill. A 95% confidence interval for the difference in the proportions of workers at the two companies who would admit to using sick leave when they weren’t ill is
(a)
(b) localid="1650367573248"
(c)
(d)
(e)
Preventing drowning Drowning in bathtubs is a major cause of death in children less than 5 years old. A random sample of parents was asked many questions related to bathtub safety. Overall, of the sample said they used baby bathtubs for infants. Estimate the percent of all parents of young children who use baby bathtubs.
Find the probability that is less than or equal to . Show your work.
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