a. To test the following hypotheses, a statistics practitioner randomly sampled 100 observations and found x = 106 and s = 35. Calculate the test statistic (and for Excel users, the p -value) of a...

a. To test the following hypotheses, a statistics practitioner randomly sampled 100 observations and found x = 106 and s = 35. Calculate the test statistic (and for Excel users, the p -value) of a test to determine whether there is enough evidence at the 1% significance level to infer that the alternative hypothesis is true. H0: μ = 100 H1: μ > 100 b. Repeat part (a) with s = 25. c. Repeat part (a) with s = 15. d. Discuss what happens to the t-statistic (and for Excel users, the p-value) when the standard deviation decreases.