A simple random sample of size n=15 is drawn from a population that is normally distributed. The sample mean is found to be

x=19.4 and the sample standard deviation is found to be s=6.3. Determine if the population mean is different from

25 at the =0.01 level of significance. Complete parts (a) through (d) below.

a) Determine the null and alternative hypotheses.

(b) Calculate the P-value.

(c) State the conclusion for the test.

(d) State the conclusion in context of the problem.