Question: A sample size of 35 is used to test \({{H}_{0}}:\mu =65\text{ vs}\text{.}\,\,{{H}_{A}}:\mu <65\).
Given that \(\bar{X}\) = 63.5 and \(\sigma \) = 2.5, answer the following questions

a. What is the computed value of the test statistic?

b. What distribution does the test statistic have when the null hypothesis is true?

c. Is the alternative hypothesis one-tailed or two-tailed?

d. What is the p-value?