A market researcher wanted to test the claim that the mean time taken to process a loan application by banks is less than 15 days. She selected a random sample of forty loan applications and found that standard deviation is 2.2 days.

If the sample mean is 12.5 days, can it be concluded that the loan processing time for the banks are less than 15 days? Test at = 0.025 using p-value method AND traditional method.