Do not round up please

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 40 of his neighbors and finds that their taxes decreased (in dollars) as follows: 340, 273, 242, 251, 214, 199, 261, 226, 206, 230, 314, 144, 329, 281, 198, 240, 232, 265, 241, 175, 248, 231, 289, 292, 272, 302, 230, 188, 328, 224, 263, 249, 318, 303, 256, 316, 197, 275, 274, 248 The statistician assumes a population standard deviation of $46. 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(? V ? V =P(? ? Y 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