To test H0: =60 versus H1: <60, a random sample of size n=26 is obtained from a population that is known to be normally

To test H0: μ=60 versus H1: μ<60, a random sample of size n=26 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below.

A. If x=57.9 and s=13.9 compute the test statistic.

B. If the researcher decides to test this hypothesis at the a=0.01 level of significance, determine the critical value(s).

C. Draw a t-distribution table that depicts the critical region.

D. Will the researcher reject the null hypothesis? Choose an option from below:

a. No, because the test stat falls in the critical region.

b. Yes, because the test stat does not fall in the critical region.

c. Yes, because the test stat falls in the critical region.

d. No, because the test stat does not fall in the critical region.