Question

A simple random sample of size n=15 is drawn from a population that is normally distributed. The sample mean is found to be bar over x=19.5

and the sample standard deviation is found to be s=6.3. Determine if the population mean is different from 25 at the alpha=.01 level of significance.

A) Determine the null and alternative hypotheses

H0: ___ ____ 25

H1: ____ ____ 25

B) Calculate the p value

C) State conclusion. Reject or not reject? Is there sufficient evidence to conclude that the population mean is different from 25?

Answer 1

please comment if there is any doubt. The cdf value of the t-distribution is calculated from the statistical tables.