15. (a) Suppose you constructed a 95% confidence interval for 1 2, given the data in Problem...

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15.

(a) Suppose you constructed a 95% confidence interval for μ1 −μ2, given the data in Problem 14. What one value do you already know will reside in that interval?

(Explain.)

(b) Now construct a 95% confidence interval for μ1 −μ2, given the data in Problem 14.

Any surprises?

(c) Without performing any calculations, comment on whether a 99% confidence interval estimated from the same data would include zero.

(d) Now construct a 99% confidence interval for μ1 −μ2, given the data in Problem 14.

Any surprises?

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