A mayor running for re-election claims that during his term, average municipal taxes have fallen by $225. Aconscientious statistician wants to test this claim. She surveys 38 of her neighbors and finds that their taxesdecreased (in dollars) as follows:215, 219, 222, 218, 231, 226, 251, 219, 231, 233, 240, 234, 224, 224, 219, 235, 215, 225, 254, 254, 231,217, 220, 231, 232, 193, 215, 224, 234, 220, 245, 236, 225, 186, 253, 212, 222, 221The statistician assumes a population standard deviation of $16. Do you think the statistician should rejectthe 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 normally distributed vos withdistribution meanand distribution standard deviationStep 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate.P(xsvX o 2P(z vStep 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, wouldyou reject the claim? Think about your answer to this step yourself; this step is not graded.

The random variable municipal taxes follow normal distribution. The population standard deviation is…

Answered: A mayor running for re-election claims…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The director of library services at a college did a survey of types of books (by subject) in the circulation library. Then she used library records to take a random sample of 888 books checked out last term and classified the books in the sample by subject. The results are shown below. Subject Area Percent of Books on Subject in CirculationLibrary on This Subject Number of Books inSample on This Subject Business 32% 259 Humanities 25% 223 Natural Science 20% 213 Social Science 15% 126 All other subjects 8% 67 Using a 5% level of significance, test the claim that the subject distribution of books in the library fits the distribution of books checked out by students. (a) What is the level of significance?State the null and alternate hypotheses. H0: The distributions are different.H1: The distributions are the same.H0: The distributions are the same.H1: The distributions are the same. H0: The distributions are different.H1: The distributions are different.H0: The…

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