I Question 3 v A mayor running for re-election claims that during his term, average municipal taxes have fallen by $275. A conscientious statistician wants to test this claim. She surveys 35 of her neighbors and finds that their taxes decreased (in dollars) as follows: 276, 288, 294, 287, 254, 274, 293, 267, 287, 308, 282, 278, 297, 274, 256, 304, 250, 289, 295, 298, 246, 288, 259,290, 290,250,267, 267,299, 281, 292, 300, 273, 289, 260 The statistician assumes a population standard deviation of 519. 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. mnn:l=m:l= 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 you reject the claim? Think about your answer to this step yourself; this step is not graded. ETpts '01