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. She surveys 38 of her neighbors and finds that their taxes decreased (in dollars) as follows: 150, 236, 221, 151, 172, 150, 227, 168, 132, 150, 130, 178, 144, 197, 166, 120, 172, 122, 160, 171, 161, 138, 132, 169, 168, 158, 229, 217, 147, 202, 259, 263, 196, 157, 128, 226, 227, 142 The statistician assumes a population standard deviation of $35. 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 ~ with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate