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A random sample of 100 observations from a population with standard deviation 45 yielded a sample mean of 108. Complete parts a throug

A random sample of 100 observations from a population with standard deviation 45 yielded a sample mean of 108. Complete parts a throug

MATLAB: An Introduction with Applications
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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I need help trying to solve the p-value, I keep getting it wrong.

A random sample of 100 observations from a population with standard deviation 45 yielded a sample mean of 108. Complete parts a through c below. p-value = 0.038 (Round to three decimal places as needed.) State and interpret the results of the test. A. Do not reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05. B. Reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05. C. Do not reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. D. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05. b. Test the null hypothesis that u = 100 against the alternative hypothesis that u # 100, using α = 0.05. Interpret the results of the test. What is the value of the test statistic? z = 1.78 (Round to two decimal places as needed.) Find the p-value. p-value= (Round to three decimal places as needed.)
Transcribed Image Text:A random sample of 100 observations from a population with standard deviation 45 yielded a sample mean of 108. Complete parts a through c below. p-value = 0.038 (Round to three decimal places as needed.) State and interpret the results of the test. A. Do not reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05. B. Reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05. C. Do not reject Ho. There is insufficient evidence to indicate that the true population mean is greater than 100 at a = 0.05. D. Reject Ho. There is sufficient evidence to indicate that the true population mean is greater than 100 at x = 0.05. b. Test the null hypothesis that u = 100 against the alternative hypothesis that u # 100, using α = 0.05. Interpret the results of the test. What is the value of the test statistic? z = 1.78 (Round to two decimal places as needed.) Find the p-value. p-value= (Round to three decimal places as needed.)
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