Assume a normal distribution and use a hypothesis test to test the given claim.According to city reports, it was found that the mean age of the prison population in the city was 26years. Marc wants to test the claim that the mean age of the prison population in his city is less than 26years. He obtains a random sample of 25 prisoners and finds a mean age of 24.4 years and a standarddeviation of 9.2 years. At a significance level of 0.05, what should his conclusion be?20.Note: The p-value 0.1966.a)Do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 26years.b) Reject the null hypothesis. The evidence suggests that the mean age is less than 26 years.c) There is not enough information to perform the test.d) Do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 24.4years.e) Reject the null hypothesis. There is sufficient evidence that the mean age is less than 24.4 years.State your conclusion to the hypothesis test.

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Answered: Assume a normal distribution and use a…

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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Two brands of batteries are tested, and their voltages are compared. The summary statistics follow. For sample 1, the sample size is 27; the population standard deviation is 0.3 volts and the mean is 9.2 volts. For sample 2, the sample size is 30; the population standard deviation is 0.1 volts and the mean is 8.8 volts. Is the mean of sample 1 smaller than the mean of sample 2? Using a significance level of 0.05. a) Identify the claim and state the hypotheses. b) What is the test statistics? Find the critical values (s). c) Make the decision to reject or not reject the null hypothesis and explain why. d) Graph your decision and include all the values. That is, the mean, the standard deviation, the critical value(s), the rejection region. e) Set up the formula with the correct numbers for the 95% confidence interval of the mean number of jobs.
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Find Test Statistic, P value, and Z score.
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