OI' Week 12: Chapter 9 - 2 Known Standard Deviation Score: 5/25 2/5 answered Progress savedi Done Q 15' ' 0 Question 3 v ' > C1\" 7 pts '0 1 3 99 (D Details 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. He surveys 37 of his neighbors and finds that their taxes decreased (in dollars) as follows: 170, 193, 206, 184, 139, 155, 215, 244, 157, 214, 168, 231, 141, 124, 74, 149, 132, 201, 127,129, 120, 174, 143, 197, 175, 154, 99, 180, 150, 198, 144, 208, 133, 212, 218, 153, 232 The statistician assumes a population standard deviation of $50. Do you think the statistician should reject the 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 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. M<:>S p-value=[: Step 4: Make a Conclusion About the null hypothesis. Since the p-value = C] ? v [j = a, we Select an answerv the null hypothesis. 0 We cannot conclude that the mean sales of McDonald's restaurants in West Virginia differ from average McDonald's sales worldwide. Q We conclude that the mean sales of McDonald's restaurants in West Virginia differ from average McDonald's sales worldwide. Submit Question . Question 5 ' [Z 5 pts '0 1 ('3 99 9 Details The mean age when smokers first start is 13 years old with a population standard deviation of 2 years. A researcher thinks that smoking age has significantly changed since the invention of ENDSelectronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 31 smokers found that their mean starting age was 12 years old. Do the data support the claim at the 10% significance level? What are the correct hypotheses? Ho: Select an answer v ? v] [2 years H1: Select an answer v ? v [:] years Based on the hypotheses, find the following: Test Statistic z = [:] (Give answer to at least 4 decimal places) Critical Values = :: :] (Give answer to at least 4 decimal places) Based on the above we choose to Select an answer v The correct summary would be: Select an answer v that the claim that the mean age smokers first start is different than 13. Submit