5.31. The GSS 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 2004 GSS gets software output:

Variable N Mean StDev SE Mean 997, CI Polviews 1294 4.23 1.39 0.0387 (4.13, 4.33)

(a) Show how to construct the confidence interval from the other information provided.

(b) Would the confidence interval be wider or narrower (i) if you constructed a 95% confidence interval, (ii) if you found the 99% confidence interval only for those who called themselves strong Democrats on political party identification (PARTYID), for whom the mean was