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 41 of her neighbors and finds that their taxes decreased (in dollars) as follows: 233, 269, 243, 243, 242, 246, 260, 247, 266, 239, 233, 266, 247, 235, 257, 244, 242, 243, 259, 249, 245, 273, 265, 266, 255, 250, 243, 249, 253, 235, 269, 243, 253, 248, 252, 271, 253, 247, 240, 241, 245 The statistician assumes a population standard deviation of $12. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. STEP 2 :  Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem.

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 $250. A conscientious statistician wants to test this claim. She surveys 41 of her neighbors and finds that their taxes decreased (in dollars) as follows:

233, 269, 243, 243, 242, 246, 260, 247, 266, 239, 233, 266, 247, 235, 257, 244, 242, 243, 259, 249, 245, 273, 265, 266, 255, 250, 243, 249, 253, 235, 269, 243, 253, 248, 252, 271, 253, 247, 240, 241, 245

The statistician assumes a population standard deviation of $12. Do you think the statistician should reject the mayor's claim? Why or why not?

Step 1: State the hypothesis.

STEP 2 : 
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 NORMAL DISTRIBUTE OR T DISTRIBUTE ?    with distribution mean =? and distribution standard deviation ?

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