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Chapter 8: Q.1 (page 481)

Got shoes? How many pairs of shoes, on average, do female teens have? To find out, an AP Statistics class conducted a survey. They 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 value of the Mean, x¯=30.35.

Step by step solution

01

Given Information 

Data:

02

Explanation

The mean (or average) is the sum of all values divided by the number of values:

x¯=50+26+…+15+5120=30.35

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Most popular questions from this chapter

What critical value t⋆from Table B would you use for a 90%confidence interval for the population mean based on an SRS of size 77? If possible, use technology to find a more accurate value of t⋆. What advantage does the more accurate df provide?

How confident? The figure below shows the result of taking 25SRSs from a Normal population and constructing a confidence interval for each sample. Which confidence level—80%,90%,95%, or 99%— do you think was used? Explain

AIDS and risk factors In the National AIDS

Behavioral Surveys sample of 2673adult heterosexuals, 0.2%had both received a blood transfusion and had a sexual partner from a group at high risk of A I D S. We want to estimate the proportion pin the population who share these two risk factors.

58. Critical values What critical value t* from TableB should be used for a confidence interval for the population mean in each of the following situations?
(a) A 90%confidence interval based on n  n=12 observations.
(b) A 95%confidence interval from an SRS of30observations.

A TV poll A television news program conducts a call-in poll about a proposed city ban on handgun ownership. Of the 2372 calls, 1921 oppose the ban. The station, following recommended practice, makes a confidence statement: "81%of the Channel 13 Pulse Poll sample opposed the ban. We can be 95% confident that the true proportion of citizens opposing a handgun ban is within1.6% of the sample result."

(a) Is the station's quoted 1.6% margin of error correct? Explain.

(b) Is the station's conclusion justifed? Explain.
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