Simple random sample of size n=15 is drawn from a population that is normally distributed. The sample mean is found to be x=19.7 and the sample standard deviation is found to be s=6.3. Determine if the population mean is different from 25 at the α=0.01 level of significance. Complete parts ​(a) through ​(d) below. ​(a) Determine the null and alternative hypotheses.
H0​:
muμ

equals=
25
H1​:
muμ

not equals≠
25
​(b) Calculate the​ P-value.
​P-value=

​(Round to three decimal places as​ needed.)