Question 1 (25 MARKS) You want to buy a microwave oven and will choose Model A if its repair costs are lower than Model B's. You research the repair costs of 47 Model A ovens and 55 Model B ovens. The results of your research are shown in the figure below. Model A Model B X = $75 &, = $80 51 = $12.50 5, = $20 At a = 0.01 would you buy Model A? (a) Identify the claim and state the null and alternative hypotheses (Ho and Ha). [5marks] (b) Find the critical value(s) and identify the rejection region(s). [5marks] (c) Find the corresponding standardized test statistic. [5marks] (d) Decide whether to reject or fail to reject the null hypothesis. [5marks] (e) Interpret the decision in the context of the original claim. [5marks]