My question is about problem 4R in Chapter 23, which is acontinuation of questio

Question

My question is about problem 4R in Chapter 23, which is acontinuation of question 3R. It reads:
The real state office interviewed all persons of age 16 andover in the sample households; there were 2,500 of such persons. Onthe average, these people commuted 7.1 miles to work, and the SD ofthe distances was 10.2 miles. If possible, find a 95% confidenceinterval for the average commute distance for all people age 16 andover in this town. If this isn;t possible, explain why not.
The real state office interviewed all persons of age 16 andover in the sample households; there were 2,500 of such persons. Onthe average, these people commuted 7.1 miles to work, and the SD ofthe distances was 10.2 miles. If possible, find a 95% confidenceinterval for the average commute distance for all people age 16 andover in this town. If this isn;t possible, explain why not.

Explanation / Answer

x= 7.1 SD =10.2 95% confidence interval would be a z score between negative anpositive 1.96 SE = 10.2/sqrt2500=.204 ans=7.1 plus or minus 1.96*.204 = interval 6.7 to 7.5miles
The trick is that there is a skew, since someone 7 miles fromwork does not walk 10 miles, but perhaps there are a lot of folkswho walk very far.

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