Question 3 A mayor running for re-election claims that during his term, average municipal taxes have fallen by $175. A conscientious statistician wants to test this claim. He surveys 41 of his neighbors and finds that their taxes decreased (in dollars) as follows: 176, 188, 171, 182, 195, 171, 158, 181, 181, 168, 161, 167, 188, 184, 166, 180, 164, 171, 177, 185, 183, 165, 165, 188, 184, 171, 171, 192, 15h, 167, 150, 176, 181, 180, 172, 184, 187, 173, 195, 192, 183 The statistician assumes a population standard deviation of $12. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ? v Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are |Select an answer | with distribution mean and distribution standard deviation nt Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(? ~ ? V = P(2 2 Step 4: Make a Conclusion About the Claim. What do you think? Based on the probability you calculated in step 3 of obtaining the point estimate, would you reject the claim? Think about your answer to this step yourself; this step is not graded. Submit