Question: Let (Y_{1}, ldots, Y_{n}) be i.i.d. draws from a distribution with mean (mu). A test of (H_{0}: mu=5) vs. (H_{1}: mu eq 5) using the

Let $Y_{1}, \ldots, Y_{n}$ be i.i.d. draws from a distribution with mean $\mu$. A test of $H_{0}: \mu=5$ vs. $H_{1}: \mu eq 5$ using the usual $t$-statistic yields a $p$-value of 0.03.

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

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

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