4. Mr. Robertson, a middle school teacher in Kalebuka, claims that the average scores on a Statistics Challenge exam for 12 grade boys is not significantly different than that of 12 grade girls. The mean score for 24 randomly sampled girls is 80.3 with a standard deviation of 4.2, and the mean score of 19 randomly sampled boys is 84.5 with a standard deviation of 3.9. At alpha equal 0.1, can you reject the Mr. Robertson's claim? Assume the population are normally distributed and variances are equal. (Please show all steps...be as detailed as possible). For 15 points a. Set up the Hypotheses and indicate the claim (2.5 points) b. Decision rule (In complete sentence for 2.5 points) c. Computation (5 points) d. Decision, why? (Complete sentence for 2.5 points) e. Interpretation (In a complete sentence for 2.5 points)