A mayor running for re-election claims that during his term, average municipal taxes have fallen by $100. A conscientious statistician wants to test this claim. She surveys 39 of her neighbors and finds that their taxes decreased (in dollars) as follows: 126, 80, 87, 84, 100, 93, 95, 104, 126, 105, 121, 121, 147, 139, 128, 144, 45, 107, 124, 77, 48, 68, 102, 100, 95, 105, 80, 132, 150, 128, 106, 89, 132, 39, 96, 102, 77, 89, 96 The statistician assumes a population standard deviation of $29. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. 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 v with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P( ? V ? V P( ? Y ? V 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