In the 2014 fiscal year (FY), nationwide the mean incarceration sentence length for drug offenses was 77.6 months (table 5.4). However, Black/African Americans served a mean sentence length of 92.6 months. Assuming a standard deviation of 11 months (figure 2) from a study of 1112 cases, test the claim that B/AA serve more than national mean of 77.6 months using = .05. (hint: this is a T test).

Step 1: Write hypothesis

H0: p=.776

H1: p not =.776

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