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 43 of her neighbors and finds that their taxes decreased (in dollars) as follows: 167, 162, 192, 161, 180, 181, 183, 179, 169, 168, 169, 160, 158, 171, 173, 174, 172, 175, 169, 179, 166, 196, 166, 193, 176, 162, 161, 186, 163, 176, 180, 170, 177, 173, 178, 170, 167, 172, 169, 191, 174, 175, 162 The statistician assumes a population standard deviation of $11. 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 | with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(? ?Y P(? v ?V 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