The General Social Survey asks respondents to rate their political views on a seven-point scale, where 1 = extremely liberal, 4 = moderate, and 7 = extremely conservative. A researcher analyzing data from the 2012 GSS obtains MINITAB output:

a. Show how to construct the confidence interval from the other information provided.
b. Can you conclude that the population mean is lower than the moderate score of 4.0? Explain.
c. Would the confidence interval be wider, or narrower,
(i) if you constructed a 99% confidence interval
(ii) if n = 500 instead of 1874?

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Variable 95% CI StDev SE Mean POLVIEWS 1874 4.0624 1.4529 0.0336 (3.9965, 4.1283) Mean