A mayor running for re-election claims that during his term, average municipal taxes have fallen by $200. A conscientious statistician wants to test this claim. She surveys 36 of her neighbors and finds that their taxes decreased (in dollars) as follows: 154, 175, 183, 221, 198, 227, 231, 167, 165, 167, 202, 175, 204, 235, 181, 217, 205, 210, 182, 234, 189, 184, 210, 166, 159, 198, 202, 180, 159, 183, 166, 208, 226, 214, 189, 170 The statistician assumes a population standard deviation of $25. 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 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(? v ? v