A mayor running for re-election claims that during his term, average municipal taxes have fallen by $250. A conscientious statistician wants to test this claim. She surveys 35 of her neighbors and finds that their taxes decreased (in dollars) as follows: 214, 214, 206, 251, 224, 267, 233, 213, 235, 237, 230, 273, 281, 281, 253, 258, 257, 236, 253, 216, 285, 236, 259, 311, 248, 240, 254, 247, 295, 280, 310, 284, 312, 209, 206 The statistician assumes a population standard deviation of $27. 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( ? v? v ) = P(? ?

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A mayor running for re-election claims that during his term, average municipal taxes have fallen by $250. A
conscientious statistician wants to test this claim. She surveys 35 of her neighbors and finds that their taxes
decreased (in dollars) as follows:
214, 214, 206, 251, 224, 267, 233, 213, 235, 237, 230, 273, 281, 281, 253, 258, 257, 236, 253, 216, 285,
236, 259, 311, 248, 240, 254, 247, 295, 280, 310, 284, 312, 209, 206
The statistician assumes a population standard deviation of $27. 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
Transcribed Image Text:A mayor running for re-election claims that during his term, average municipal taxes have fallen by $250. A conscientious statistician wants to test this claim. She surveys 35 of her neighbors and finds that their taxes decreased (in dollars) as follows: 214, 214, 206, 251, 224, 267, 233, 213, 235, 237, 230, 273, 281, 281, 253, 258, 257, 236, 253, 216, 285, 236, 259, 311, 248, 240, 254, 247, 295, 280, 310, 284, 312, 209, 206 The statistician assumes a population standard deviation of $27. 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
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