I know the answer but why is it that answer? A study of properties of metal plat

Question

I know the answer but why is it that answer?

A study of properties of metal plate-connected trusses used for roof support yielded the following observations on axial stiffness ('Stiffness') for plate lengths ('Lengths') 4,6,8, 10 and 12 inches. A JMP analysis of these data follows. Use this output to answer problem 5, which follows. Compared to the confidence intervals given at the bottom of the above output, individual 95 percent confidence intervals based on the 2-sample t distribution would be: narrower than Tukey 95% simultaneous confidence intervals. wider than Tukey 95% simultaneous confidence intervals. either narrower or wider than Tukey 95% simultaneous confidence intervals. preferred to Tukey 95% simultaneous confidence intervals, none of the above.

Explanation / Answer

The correct option is (a)

because tukey's confidence interval constructed based on the studentized range of critical value Q.

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