a. A statistics practitioner wishes to test the following hypotheses: A sample of 50 observations yielded the statistics x = 585 and s = 45. Calculate the test statistic (and for Excel users, the...

a. A statistics practitioner wishes to test the following hypotheses:

A sample of 50 observations yielded the statistics x = 585 and s = 45. Calculate the test statistic (and for Excel users, the p-value) of a test to determine whether there is enough evidence at the 10% significance level to infer that the alternative hypothesis is true.

b. Repeat part (a) with x = 590. c. Repeat part (a) with x = 595.

d. Describe the effect of increasing the sample mean.