test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as:

n=25

x=24.4 years

s= 9.2 years

Use a significance level of a=0.05.

Assume that a simple random sample has been selected from a normally distributes population. Find the test statistic, p value, critical value(s) and state the final conclusion.