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Got shoes? How many pairs of shoes, on average, do female teens have? To find out, an AP Statistics class selected an SRS of 20female students from their school.

Then they recorded the number of pairs of shoes that each student reported having. Here

are the data:

Short Answer

Expert verified

The average isx¯=30.35.

Step by step solution

01

Given Information

The data of 20are given as below:

02

Explanation

Average is calculated using x¯=xn

x¯=50+26+26++13+15+5120

=60720

=30.35

The average is30.35

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Most popular questions from this chapter

Election polling Gloria Chavez and Ronald Flynn are the candidates for mayor in a large city. We want to estimate the proportion p of all registered voters in the city who plan to vote for Chavez with 95%confidence and a margin of error no greater than 0.03. How large a random sample do we need?

You have measured the systolic blood pressure of an SRS of 25company employees. A 95%confidence interval for the mean systolic blood pressure for the employees of this company is (122,138). Which of the following statements is true?

a. 95%of the sample of employees have a systolic blood pressure between 122 and 138.

b. 95%of the population of employees have a systolic blood pressure between 122and138.

c. If the procedure were repeated many times, 95%of the resulting confidence intervals would contain the population mean systolic blood pressure.

d. If the procedure were repeated many times, 95%of the time the population mean systolic blood pressure would be between 122and 138.

e. If the procedure were repeated many times, 95%of the time the sample mean systolic blood pressure would be between 122and138.

After deciding on a 95% confidence level, the researcher is deciding between a sample of size n=500 and a sample of size n=1000. Compared with using a sample size of n=500, a confidence interval based on a sample size of n=1000 will be

a. narrower and would involve a larger risk of being incorrect.

b. wider and would involve a smaller risk of being incorrect.

c. narrower and would involve a smaller risk of being incorrect.

d. wider and would involve a larger risk of being incorrect.

e. narrower and would have the same risk of being incorrect.

Power lines and cancer Does living near power lines cause leukemia in

children? The National Cancer Institute spent 5years and $5million gathering data on this question. The researchers compared 638children who had leukemia with 620who did not. They went into the homes and measured the magnetic fields in children’s bedrooms, in other rooms, and at the front door. They recorded facts about power lines near the family home and also near the mother’s residence when she was pregnant. Result: No association between leukemia and exposure to magnetic fields of the kind produced by power lines was found.

a. Was this an observational study or an experiment? Justify your answer.

b. Does this study prove that living near power lines doesn’t cause cancer? Explain your answer.

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 99%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.

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