Question: Let Y 1 , . . . ,Yn be i.i.d. draws from a distribution with mean . A test of H0 : = 5 vs.

Let Y 1 , . . . ,Yn be i.i.d. draws from a distribution with mean . A test of H0 : = 5

vs. H1 : 5 using the usual t-statistic yields a p-value of 0.03.

a. Does the 95% confidence interval contain = 5? Explain.

b. Can you determine if = 6 is contained in the 95% confidence interval? Explain.

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