14. 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. HO: u = 100 H1: u > 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