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Chapter 10: Q.1.2 (page 608)
Find the mean and standard deviation of the sampling distribution. Show your work.
The required mean and standard deviation are and respectively.
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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.
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.
A surprising number of young adults (ages to ) still live in their parents鈥� 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.
41. Literacy rates Do males have higher average literacy rates than females in Islamic countries? The table below shows the percent of men and women at least years old who were literate in in the major Islamic nations. (We omitted countries with populations of less thanmillion.) Data for a few nations, such as Afghanistan and Iraq, were not available.
Explain why the conditions for using two-sample z procedures to perform inference about are not met in the settings
In-line skatersA study of injuries to in-line skaters used data from the National Electronic Injury Surveillance System, which collects data from a random sample of hospital emergency rooms. The researchers interviewed people who came to emergency rooms with injuries from in-line skating. Wrist injuries (mostly fractures) were the most common.The interviews found that people were wearing wrist guards and of these had wrist injuries. Of the who did not wear wrist guards, had wrist injuries.
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