The study explored the mean sentence lengths and standard deviation of sentences of cases that followed guidelines and for those who did not. In 967 cases, guidelines were followed. Those cases had a standard deviation of 3.92 months (p. 40). Assuming the population standard deviation for all cases of the same nature was 11 months, test the claim that the standard deviation for the 967 guideline cases is less than the population standard deviation of 11 months with = .025 (use df = 950).

Step 1: Write hypothesis

H0:

H1:

Step 2:Identify type of test by tails and if it is t or chi-square test.

Step 3: Find the P-value or critical value(s) and test statistic.

Step 4: State decision and conclusion