Assignment 4: f-Tests and ANOVA (20 points) IMPORTANT: Do not to round intermediate calculations. If it's necessary, round a number to 5 decimal places. Independent Sample t-Test Some research indicates that gender is a factor that influences recidivism among offenders. You hypothesize that there is a difference in the mean number of rearrests between male and female offenders. The table below shows the mean number of rearrests after being released from prison for a sample of 201 male offenders and 101 female offenders. Using the 0.05 significance level, test the null hypothesis that there is no difference between the two groups (i.e., the two population means are equal). Male Female X1 - X 2 n: 201 101 Mean: 4 2 (n, - 1)s 1 + (n2 - 1)s2 2 n + n 2 SD: 3 2 n, +n2 - 2 nin2 1. Is the research hypothesis one-tailed or two-tailed? 2. Calculate the test statistic (You can use Excel to find it in a minute.) Obtained t value: *Round your answer to 2 decimal places. 3. Can you reject the null hypothesis? EXPLAIN WHY (in one sentence). Be sure to write the critical value. Use the Critical Value Table B.2, which can be found in the "DATA" section. 4. Interpret your answer for Q3 (in one sentence)