Question: To test H_0: µ = 80 versus H₁:µ < 80, a simple random sample of size n = 22 is obtained from a population that is known to be normally distributed.

a. If x? = 76.9 and s = 8.5, compute the test statistic.

b. If the researcher decides to test this hypothesis at the a = 0.02 level of significance, determine the critical value.

c. Draw a t-distribution that depicts the critical region.

d. Will the researcher reject the null hypothesis? Why?