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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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? es Step 1: State the hypothesis. %3D e Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. е 365 By the Central Limit Theorem, we kno that the point estimates are Select an answer v with Media distribution mean and distribution standard deviation dia Gallery cure Exam octor (Proctorio) Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(? ?v P(? ?v prary ake Tuition ayment 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 Class Notebook Submit Question Unicheck Learner Forms
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? es Step 1: State the hypothesis. %3D e Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. е 365 By the Central Limit Theorem, we kno that the point estimates are Select an answer v with Media distribution mean and distribution standard deviation dia Gallery cure Exam octor (Proctorio) Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(? ?v P(? ?v prary ake Tuition ayment 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 Class Notebook Submit Question Unicheck Learner Forms
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