Mr. Jacobsin, a high school teacher in Bameda, claims that the average scores on a Statistics Challenge exam for 12^th grade boys is not significantly different than that of 12^th 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. Jacobsin's claim? Assume the population are normally distributed and variances are equal.

a) Set up the hypothesis and indicate the claim.

b) decision rule in complete sentence.

c) Computation.

d) Decision in complete sentence.

e) Interpretation in complete sentence.

Show work please and steps on computation