PLEASE USE PHSTAT TO SOLVE

Based on a study of the circulation of 20 magazines, the audited newsstand sales are related to the reported sales by the prediction line. Yi = 26.5297 + 0.5737Xi (measured in thousands). For these data, Syx= 40.454, X=402, and hi= 0.250 when X=400. Complete parts a through c

a) Construct a 90% confidence interval estimate of the mean audited sales for magazines that report newsstand sales of 400,000.

____ uy/x = x400 ______

b) Construct a 90% prediction interval of the audited sales for an individual magazine that reports newsstand sales of 400,000.

____ Y 400 _____

c) Explain the differences in the results from (a) and (b).

A.Since there is more variation in predicting an individual value than in estimating a meanvalue, the prediction interval is narrower than the confidenceinterval, holding everything else fixed.

B.Since there is more variation in predicting an individual value than in estimating a meanvalue, the prediction interval is wider than the confidenceinterval, holding everything else fixed.

C.Since there is more variation in estimating a mean value than in predicting an individualvalue, the confidence interval is wider than the predictioninterval, holding everything else fixed.

D.Since there is more variation in estimating a mean value than in predicting an individualvalue, the confidence interval is narrower than the predictioninterval, holding everything else fixed.

PLEASE USE PHSTAT TO SOLVE the above