Question: Several 95% confidence intervals for the mean response will be constructed, based on a data set for which the sample mean value for the explanatory

Several 95% confidence intervals for the mean response will be constructed, based on a data set for which the sample mean value for the explanatory variable is

̄x = 10.

The values of x∗ for which the confidence intervals will be constructed are x* = 9, x* = 12, and x* = 14.

a. For which of these values of x∗ will the margin of error be the smallest?

b. For which of these values of x∗ will the margin of error be the largest?

c. If one wanted to construct a 95% confidence interval with the smallest possible margin of error, which value of x*

would one use?

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