A mayor running for re-election claims that during his term, average municipal taxes have fallen by $250. A conscientious statistician wants to test this claim. She surveys 38 of her neighbors and finds that their taxes decreased (in dollars) as follows: 244, 239, 210, 241, 250, 183, 235, 186, 274, 236, 216, 205, 169, 222, 240, 221, 292, 257, 268, 248, 231, 300, 260, 290, 246, 227, 360, 249, 285, 241, 227, 226, 265, 314, 211, 222, 287, 304 The statistician assumes a population standard deviation of $42. 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 = P(?v ? v