5. A study investigates a claim that the mean age of the prison population at a certain facility is less than 26 years. The sample data are summarized as follows: n = 25, the sample mean is 24.4 years, and the sample standard deviation is 9.2 years. Conduct a significance test using a signifi-cance level of 0.05.

a. State the hypotheses. (2 marks)

b. Calculate the test statistic. (2 marks)

c. State the approximate P-value. (2 marks)

d. Interpret the P-value in context, state your conclusion. (2 marks)