When 70 convicted embezzlers were randomly selected, the mean length of prison sentence was found to be 22.1 months. Assume the standard deviation for the population is 8.6 months. Kim Patterson is running for political office on a platform of tougher treatment of convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean of less than 2 years. Use a 0.05 significance level.

Step 1: State the hypothesis

Step 2: Calculate the test statistic

Step 3: Calculate the p-value

Step 4: Draw a conclusion