A mayor running for re-election claims that during his term, average municipal taxes have fallen by $225. A conscientious statistician wants to test this claim. She surveys 37 of her neighbors and finds that their taxe decreased (in dollars) as follows: 239, 231, 221, 213, 237, 213, 225, 240, 238, 217, 226, 221, 189, 189, 222, 219, 219, 226, 209, 225, 243, 223, 248, 258, 221, 234, 267, 225, 225, 217, 215, 236, 245, 241, 256, 226, 220 The statistician assumes a population standard deviation of $14. Do you think the statistician should reject che 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 = P(|? ♥||? ♥ 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, woule 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
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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 $225. A
conscientious statistician wants to test this claim. She surveys 37 of her neighbors and finds that their taxes
decreased (in dollars) as follows:
239, 231, 221, 213, 237, 213, 225, 240, 238, 217, 226, 221, 189, 189, 222, 219, 219, 226, 209, 225, 243,
223, 248, 258, 221, 234, 267, 225, 225, 217, 215, 236, 245, 241, 256, 226, 220
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.
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(? 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.
Transcribed Image Text:A mayor running for re-election claims that during his term, average municipal taxes have fallen by $225. A conscientious statistician wants to test this claim. She surveys 37 of her neighbors and finds that their taxes decreased (in dollars) as follows: 239, 231, 221, 213, 237, 213, 225, 240, 238, 217, 226, 221, 189, 189, 222, 219, 219, 226, 209, 225, 243, 223, 248, 258, 221, 234, 267, 225, 225, 217, 215, 236, 245, 241, 256, 226, 220 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. 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(? 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.
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