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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You are interested in testing whether the average age of household heads is higher in the suburbs than in inner city neighbourhoods. A survey is conducted, and the following results are obtained. In the suburbs, the household heads of the 45 households surveyed had a mean age of 44 with a standard deviation of 15. In the inner city, the mean age of the 40 household heads surveyed was 38 with a standard deviation of 13. Assuming that the populations from which these samples were drawn have equal variances, can you conclude that the difference between the two means is significant at the 95% level of confidence? (a) Write in words and symbols the null and research hypotheses. (b) Assuming the variances of the populations are equal, calculate the value of the Pooled Variance Estimate (PVE). (c) Calculate the value of the standard error for the difference between the two means.
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In a random sample of seven cell phones, the mean full retail price was $414.50 and the standard deviation was $171.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean μ. Interpret the results.
A report states that the mean yearly salary offer for students graduating with a degree in accounting is $48,722. Suppose that a random sample of 50 accounting graduates at a large university who received job offers resulted in a mean offer of $49,870 and a standard deviation of $3900. Do the sample data provide strong support for the claim that the mean salary offer for accounting graduates of this university is higher than the national average of $48,722? Ho: μ = Ha: (Put in the correct symbol and value) ✓ Select an answer a not = P-value: = ↑ Based on the above we choose to Select an answer Question Help: Post to forum Submit Question
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