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A mayor running for re-election claims that during his term, average municipal taxes have fallen by $150. A conscientious statistician wants to test this claim. He surveys 44 of his neighbors and finds that their taxes decreased (in dollars) as follows: 153, 141, 149, 163, 147, 145, 152, 145, 154, 147, 150, 152, 153, 147, 162, 147, 152, 145, 156, 154, 133, 157, 154, 138, 165, 159, 155, 151, 133, 142, 133, 149, 138, 153, 151, 142, 156, 139, 162, 159, 158, 165, 150, 167 The statistician assumes a population standard deviation of $10. 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 - P(? ~ ?~ 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