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A mayor running for re-election claims that during his term, average municipal taxes have fallen by $100. A conscientious statistician wants to test this claim. He surveys 36 of his neighbors and finds that their taxes decreased (in dollars) as follows: 103, 113, 108, 114, 102, 121, 112, 103, 84, 109, 120, 94, 82, 107, 110, 100, 103, 92, 75, 105, 100, 103, 111 91 109 92 93 105 06 24 02

A mayor running for re-election claims that during his term, average municipal taxes have fallen by $100. A conscientious statistician wants to test this claim. He surveys 36 of his neighbors and finds that their taxes decreased (in dollars) as follows: 103, 113, 108, 114, 102, 121, 112, 103, 84, 109, 120, 94, 82, 107, 110, 100, 103, 92, 75, 105, 100, 103, 111 91 109 92 93 105 06 24 02

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A mayor running for re-election claims that during his term, average municipal taxes have fallen by $100. A conscientious statistician wants to test this claim. He surveys 36 of his neighbors and finds that their taxes decreased (in dollars) as follows: 103, 113, 108, 114, 102, 121, 112, 103, 84, 109, 120, 94, 82, 107, 110, 100, 103, 92, 75, 105, 100, 103, 111, 91, 109, 92, 93, 105, 96, 84, 93, 107, 93, 81, 105, 87 The statistician assumes a population standard deviation of $14. 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. with By the Central Limit Theorem, we know that the point estimates are Select an answer distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P? v P ? |?v
Transcribed Image Text:A mayor running for re-election claims that during his term, average municipal taxes have fallen by $100. A conscientious statistician wants to test this claim. He surveys 36 of his neighbors and finds that their taxes decreased (in dollars) as follows: 103, 113, 108, 114, 102, 121, 112, 103, 84, 109, 120, 94, 82, 107, 110, 100, 103, 92, 75, 105, 100, 103, 111, 91, 109, 92, 93, 105, 96, 84, 93, 107, 93, 81, 105, 87 The statistician assumes a population standard deviation of $14. 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. with By the Central Limit Theorem, we know that the point estimates are Select an answer distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P? v P ? |?v
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