Consider the computer output shown below.

One-Sample T: Y Test of mu = 91 vs. not = 91 Variable N Mean Std. Dev. SE Mean 95% CI T P Y 25 92.5805 ? 0.4673 (91.6160, ?) 3.38 0.002

(a) Fill in the missing values in the output. Can the null hypothesis be rejected at the 0.05 level? Why?

(b) Is this a one-sided or a two-sided test?

(c) If the hypotheses had been H0 ∶ ???? = 90 versus H1 ∶

???? ≠ 90, would you reject the null hypothesis at the 0.05 level?,

(d) Use the output and the t table to find a 99 percent two-sided CI on the mean.

(e) What is the P-value if the alternative hypothesis is H1 ∶

???? > 91?