The following computer output was used to complete a hypothesis test.

TEST OF MU  15.0000 VS MU not  15.0000 THE ASSUMED SIGMA  0.50 N MEAN STDEV SE MEAN Z 30 15.6333 0.4270 0.0913 6.94

a. State the null and alternative hypotheses.

b. If the test is completed using   0.01, what decision and conclusion are reached?

c. Verify the value of the standard error of the mean.