Suppose that a recent article stated that the mean time spend in jail by a first-time

convicted burglar is 2.5 years. A study was then done to test the accuracy of this claim. A

random sample of 25 first-time convicted burglars in a recent year was picked. The mean length

of time in jail from the survey was 3 years with a standard deviation of 1.8 years. Suppose that

it is somehow known that the population standard deviation is 1.5.

1 By applying the seven-step p-value procedure, test the claim at the 0.05 level of significance.

2By applying the seven-step classical hypothesis-testing procedure, test the claim at the 0.05 level of significance.