Question: According to the U.S. Department of Justice, in 1992 the average convicted rapist was sentenced to 117 months in prison. The average time served, though, was only 65 months. A psychologist collected a random sampling of 50 convicted rapists and found the average time they served was 70.43 months and a standard deviation of 12.34 months. Would the state’s mean of 65 months fall within the 99% confidence level for the sample? Explain your reasoning using words or a diagram.