A mayor running for re-election claims that during his term, average municipal taxes have fallen by $175. A conscientious statistician wants to test this claim. She surveys 44 of her neighbors and finds that their taxes decreased (in dollars) as follows: 198, 202, 166, 184, 167, 167, 187, 129, 178, 166, 158, 172, 142, 187, 188, 199, 192, 165, 191, 199, 188, 156, 195, 165, 165, 179, 208, 158, 228, 175, 177, 161, 168, 189, 151, 177, 146, 190, 185, 162, 163, 177, 170, 163 The statistician assumes a population standard deviation of $18. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. p =?or u=? 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 ?
A mayor running for re-election claims that during his term, average municipal taxes have fallen by $175. A conscientious statistician wants to test this claim. She surveys 44 of her neighbors and finds that their taxes decreased (in dollars) as follows:
198, 202, 166, 184, 167, 167, 187, 129, 178, 166, 158, 172, 142, 187, 188, 199, 192, 165, 191, 199, 188, 156, 195, 165, 165, 179, 208, 158, 228, 175, 177, 161, 168, 189, 151, 177, 146, 190, 185, 162, 163, 177, 170, 163
The statistician assumes a population standard deviation of $18. Do you think the statistician should reject the mayor's claim? Why or why not?
Step 1: State the hypothesis.
p =?or u=?
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
with distribution mean ?
and distribution standard deviation ?
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