6. Hypothesis testing. Using the following examples, conduct a t-test. (6 points) a. Let's say we drew a random sample of 100 male inmates who attended Warden Johnsons' informational session on inmate misconduct. We found that their mean sentence was 187 months, with a standard deviation of 21.61. Based on hypothetical data from Uptown Correctional Facility, we know that the sample mean sentences for all males is p = 165 months. We hypothesize that the mean sentence (in months) for male inmates in the sample is lei than the total population of all male inmates at Uptown Correctional Facility. i. State the research and null hypotheses and select alpha. 0 Research Hypothesis: 0 Null Hypothesis: 0 Alpha Level: ii. Compute the t-statistic. 0 Calculate the degrees of eedom (dj) associated with our test