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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 42 of his neighbors and finds that their taxes decreased (in dollars) as follows: 95, 117, 94, 108, 102, 102, 96, 85, 99, 113, 105, 93, 96, 110, 115, 98, 90, 109, 105, 82, 95, 79, 107, 114, 103, 95, 113, 86, 84, 105, 127, 101, 94, 108, 112, 104, 88, 97, 114, 93, 101, 109 The statistician assumes a population standard deviation of $10. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. 100 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 normally distributed v o with distribution mean 100 o and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(X = P(zv ) =

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 42 of his neighbors and finds that their taxes decreased (in dollars) as follows: 95, 117, 94, 108, 102, 102, 96, 85, 99, 113, 105, 93, 96, 110, 115, 98, 90, 109, 105, 82, 95, 79, 107, 114, 103, 95, 113, 86, 84, 105, 127, 101, 94, 108, 112, 104, 88, 97, 114, 93, 101, 109 The statistician assumes a population standard deviation of $10. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. 100 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 normally distributed v o with distribution mean 100 o and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(X = P(zv ) =

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 10CYU
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please help me solve step 2 and 3. i already answered some question. topic os known standard deviation. thanks

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 42 of his neighbors and finds that their taxes decreased (in dollars) as follows: 95, 117, 94, 108, 102, 102, 96, 85, 99, 113, 105, 93, 96, 110, 115, 98, 90, 109, 105, 82, 95, 79, 107, 114, 103, 95, 113, 86, 84, 105, 127, 101, 94, 108, 112, 104, 88, 97, 114, 93, 101, 109 The statistician assumes a population standard deviation of $10. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. 100 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 normally distributed v os with distribution mean 100 os and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(X P(zv ) =
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 42 of his neighbors and finds that their taxes decreased (in dollars) as follows: 95, 117, 94, 108, 102, 102, 96, 85, 99, 113, 105, 93, 96, 110, 115, 98, 90, 109, 105, 82, 95, 79, 107, 114, 103, 95, 113, 86, 84, 105, 127, 101, 94, 108, 112, 104, 88, 97, 114, 93, 101, 109 The statistician assumes a population standard deviation of $10. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. 100 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 normally distributed v os with distribution mean 100 os and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(X P(zv ) =
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