A mayor running for re-election claims that during his term, average municipal taxes have fallen by $300. A conscientious statistician wants to test this claim. He surveys 41 of his neighbors and finds that their taxes decreased (in dollars) as follows: 297, 296, 303, 320, 291, 287, 296, 301, 290, 326, 347, 346, 309, 277, 381, 298, 299, 317, 299, 304, 309, 288, 316, 285, 337, 329, 280, 303, 314, 345, 309, 309, 316, 308, 297, 319, 302, 356, 285, 306, 283 The statistician assumes a population standard deviation of $23. 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(2 2 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. Submit Question
A mayor running for re-election claims that during his term, average municipal taxes have fallen by $300. A conscientious statistician wants to test this claim. He surveys 41 of his neighbors and finds that their taxes decreased (in dollars) as follows: 297, 296, 303, 320, 291, 287, 296, 301, 290, 326, 347, 346, 309, 277, 381, 298, 299, 317, 299, 304, 309, 288, 316, 285, 337, 329, 280, 303, 314, 345, 309, 309, 316, 308, 297, 319, 302, 356, 285, 306, 283 The statistician assumes a population standard deviation of $23. 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(2 2 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. Submit Question
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A mayor running for re-election claims that during his term, average municipal taxes have fallen by $300. A
conscientious statistician wants to test this claim. He surveys 41 of his neighbors and finds that their taxes
decreased (in dollars) as follows:
297, 296, 303, 320, 291, 287, 296, 301, 290, 326, 347, 346, 309, 277, 381, 298, 299, 317, 299, 304, 309,
288, 316, 285, 337, 329, 280, 303, 314, 345, 309, 309, 316, 308, 297, 319, 302, 356, 285, 306, 283
cements
The statistician assumes a population standard deviation of $23. Do you think the statistician should reject
the mayor's claim? Why or why not?
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Step 1: State the hypothesis.
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Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem.
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Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate.
P(? ?v
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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.
Accredible
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