2.8. Consider the Minitab output shown below.

One-Sample T: Y Test of mu = 91 vs. not = 91 Variable N Mean StDev SE Mean 95% CI T P Y 25 92.5805 0.4673 191.6160, 113.38 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: μ = 90 versus H₁:

μ ≠ 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: μ > 91?