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Chapter 8: Q 3. (page 506)
Going to the prom Tonya wants to estimate the proportion of seniors in her school who plan to attend the prom. She interviews an SRS of of the seniors in her school and finds that plan to go to the prom.
The answer is.
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The U.S. Forest Service is considering additional restrictions on the number of vehicles allowed to enter Yellowstone National Park. To assess public reaction, the service asks a random sample of 150 visitors if they favor the proposal, Of these, 89 say "Yes."
a. Construct and interpret a confidence interval for the proportion of all visitors to Yellowstone who favor the restrictions.
b. Based on your work in part (a), is there convincing evidence that more than half of all visitors to Yellowstone National Park favor the proposal? Justify your answer.
A school of fish Refer to Exercise 74.
a. Explain why it was necessary to inspect a graph of the sample data when checking the Normal/Large Sample condition.
b. According to the packaging, there are supposed to be goldfish in each bag of crackers. Based on the interval, is there convincing evidence that the average number of goldfish is less than ? Explain your answer.
A plethora of pepperoni? Refer to Exercise 73.
a. Explain why it was necessary to inspect a graph of the sample data when checking the Normal/Large Sample condition.
b. According to the manager of the restaurant, there should be an average of
pepperonis on a large pizza. Based on the interval, is there convincing evidence that the average number of pepperonis is less than ? Explain your answer.
Pepperoni pizza Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To
investigate, they went to their favorite pizza restaurant at random times during the week and ordered a large pepperoni pizza. Here are the number of pepperonis on each pizza:
Travel time to work A study of commuting times reports the travel times to work of a random sample of employed adults in New York State. The mean is minutes and the standard deviation is
minutes. What is the standard error of the mean? Interpret this value in context.
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