Problem 2: A researcher would like to determine if there is a significant difference between the performance of male and female students enrolled in Statistics. Based on the statistics obtained below, can we conclude that there is a significant difference on the performance of male and female students in their Statistics class? Use 1% level of significance Male 56 69 43 59 46 47 41 38 53 64 58 70 57 45 65 Female 54 75 65 43 45 36 38 56 59 63 65 65 59 60 40 a. State the null and alternative hypotheses (2) b. Select the level of significance (1) c. Identify the appropriate test-statistic and determine whether it is one-tailed or two-tailed (2) d. Determine the critical value and the rejection region/s (1) e. Compute the test statistic (1) f. State the decision rule (1) g. Conclusion (2)