In FY2010, the nationwide mean incarceration sentence for weapon offenses was 84 months (table 5.4). However, women served a mean sentence of 50.7 months. The standard deviation was approximately 38 months (pg. 248). Approximately 7669 people (table 5.1) received weapons offense sentences in FY2010. Test the claim that women serve a sentence that is less than the national mean of 84 months using = .05.

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