The following output (from (mathrm{R}) ) presents the results of a hypothesis test for the difference between

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The following output (from \(\mathrm{R}\) ) presents the results of a hypothesis test for the difference between two means:

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a. Is this a one-tailed or a two-tailed test?

b. What is the null hypothesis?

c. Can \(H_{0}\) be rejected at the \(5 \%\) level? How can you tell?

d. If a \(99 \%\) upper confidence bound were computed for \(\mu_{X}-\mu_{Y}\), would it be positive, negative, or zero? How can you tell?

e. Use the output to compute the \(P\)-value using a \(z\) test. Are the results similar?

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