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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炉=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炉=50+26+鈥�+15+5120=30.35

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Most popular questions from this chapter

In a poll,

I. Some people refused to answer questions.

II. People without telephones could not be in the sample.

III. Some people never answered the phone in several calls.

Which of these sources is included in the 卤2%margin of error announced for the poll?

(a) I only

(b) II only

(c) III only

(d) I, II, and III

(e) None of these

Rating dorm food Latoya wants to estimate what proportion of the seniors at her high school like the cafeteria food. She interviews an SRS of 50of the 175 seniors living in the dormitory. She finds that 14 think the cafeteria food is good.

How confident? The figure at top right shows the result of taking 25SRSs from a Normal population and constructing a confidence interval for each sample. Which confidence level鈥�80%,90%,95%, or 99%鈥攄o you think was used? Explain.

To assess the accuracy of a laboratory scale, a standard weight known to weigh 10grams is weighed repeatedly. The scale readings are Normally distributed with unknown mean (this mean is 10grams if the scale has no bias). In previous studies, the standard deviation of the scale readings has been about 0.0002gram. How many measurements must be averaged to get a margin of error of 0.0001with 98% confidence? Show your work.

Running red lights A random digit dialing telephone survey of880drivers asked, "Recalling the last ten traffic lights you drove through, how many of them were red when you entered the intersections?" Of the 880respondents, 171admitted that at least one light had been red.15

(a) Construct and interpret a95%confidence interval for the population proportion.

(b) Nonresponse is a practical problem for this survey-only 21.6%of calls that reached a live person were completed. Another practical problem is that people may not give truthful answers. What is the likely direction of the bias: do you think more or fewer than 171of the 880respondents really ran a red light? Why? Are these sources of bias included in the margin of error?
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