Several 95% confidence intervals for the mean response will be constructed, based on a data set for
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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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