A mayor running for re-election claims that during his term, average municipal taxes have fallen by $275. A conscientious statistician wants to test this claim. He surveys 35 of his neighbors and finds that their taxes decreased (in dollars) as follows: 309, 273, 283, 264, 304, 329, 290, 250, 269, 247, 331, 289, 286, 260, 238, 221, 28о, 226, 317, 332, 292, 301, 309, 217, 247, 246, 268, 220, 320, 309, 292, 253, 267, 360, 297 The statistician assumes a population standard deviation of $40. 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 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 ? v P( ? v ? v 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.

A mayor running for re-election claims that during his term, average municipal taxes have fallen by $275. A conscientious statistician wants to test this claim. He surveys 35 of his neighbors and finds that their taxes decreased (in dollars) as follows: 309, 273, 283, 264, 304, 329, 290, 250, 269, 247, 331, 289, 286, 260, 238, 221, 28о, 226, 317, 332, 292, 301, 309, 217, 247, 246, 268, 220, 320, 309, 292, 253, 267, 360, 297 The statistician assumes a population standard deviation of $40. 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 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 ? v P( ? v ? v 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1C

See similar textbooks