For a given data set,specific value of x,and a confidence level,if all the other factors are constant,the confidence interval for the mean value of y will _______ be wider than the corresponding prediction interval for the individual value of y.
A)always
B)sometimes
C)never
D)Cannot be determined without sample information.

Question

Quizplus · Accepted Answer

The confidence interval for the mean value of y is always narrower than the prediction interval for an individual value of y because the prediction interval accounts for both the variability of the mean and the additional variability of individual observations.

For a Given Data Set,specific Value of X,and a Confidence