A mayor running for re-election claims that during his term, average municipal taxes have fallen by $150. A conscientious statistician wants to test this claim. She surveys 42 of her neighbors and finds that their taxes decreased (in dollars) as follows: 137, 211, 147, 146, 113, 126, 165, 165, 191, 133, 156, 181, 160, 213, 158, 159, 251, 202, 176, 239, 134, 126, 156, 128, 165, 150, 123, 192, 134, 166, 225, 153, 121, 150, 163, 228, 209, 109, 191, 165, 202, 157 The statistician assumes a population standard deviation of $35. 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 with distribution mean and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P??✔ P(?? =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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A mayor running for re-election claims that during his term, average municipal taxes have fallen by $150. A
conscientious statistician wants to test this claim. She surveys 42 of her neighbors and finds that their taxes
decreased (in dollars) as follows:
137, 211, 147, 146, 113, 126, 165, 165, 191, 133, 156, 181, 160, 213, 158, 159, 251, 202, 176, 239, 134,
126, 156, 128, 165, 150, 123, 192, 134, 166, 225, 153, 121, 150, 163, 228, 209, 109, 191, 165, 202, 157
The statistician assumes a population standard deviation of $35. 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
distribution mean
with
and distribution standard deviation
Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate.
P(??
P(? ✓
? ♥
Transcribed Image Text:A mayor running for re-election claims that during his term, average municipal taxes have fallen by $150. A conscientious statistician wants to test this claim. She surveys 42 of her neighbors and finds that their taxes decreased (in dollars) as follows: 137, 211, 147, 146, 113, 126, 165, 165, 191, 133, 156, 181, 160, 213, 158, 159, 251, 202, 176, 239, 134, 126, 156, 128, 165, 150, 123, 192, 134, 166, 225, 153, 121, 150, 163, 228, 209, 109, 191, 165, 202, 157 The statistician assumes a population standard deviation of $35. 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 distribution mean with and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P(?? P(? ✓ ? ♥
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