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. He surveys 45 of his neighbors and finds that their taxes decreased (in dollars) as follows: 297,151,220,300,222,260,186,278,229,227,252,183,222,222,292,265,306,223,240,230,295,286,
353,316,235,238,299,291,283,188,318,238,213,223,302,190,270,314,250,231,301,279,233,195,
270
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The statistician assumes a population standard deviation of \$47. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. =1 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 with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate.