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Hypothesis Test for a Population Mean (o is Known) You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho:µ = 53.7 Ha: µ > 53.7 You believe the population is normally distributed and you know the population standard deviation is o = 10.1. You obtain a sample mean of M = 57.5 for a sample of size n = 63. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to three decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis

Hypothesis Test for a Population Mean (o is Known) You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho:µ = 53.7 Ha: µ > 53.7 You believe the population is normally distributed and you know the population standard deviation is o = 10.1. You obtain a sample mean of M = 57.5 for a sample of size n = 63. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to three decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis

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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**Hypothesis Test for a Population Mean (\(\sigma\) is Known)** You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.05\). - \(H_0: \mu = 53.7\) - \(H_a: \mu > 53.7\) You believe the population is normally distributed and you know the population standard deviation is \(\sigma = 10.1\). You obtain a sample mean of \(M = 57.5\) for a sample of size \(n = 63\). **What is the test statistic for this sample?** (Report answer accurate to three decimal places.) - test statistic = [ ] **What is the p-value for this sample?** (Report answer accurate to three decimal places.) - p-value = [ ] The p-value is... - ( ) less than (or equal to) \(\alpha\) - ( ) greater than \(\alpha\) This test statistic leads to a decision to... - ( ) reject the null hypothesis - ( ) accept the null hypothesis - ( ) fail to reject the null hypothesis As such, the final conclusion is that... - ( ) There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 53.7. - ( ) There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 53.7. - ( ) The sample data support the claim that the population mean is greater than 53.7. - ( ) There is not sufficient sample evidence to support the claim that the population mean is greater than 53.7.
Transcribed Image Text:**Hypothesis Test for a Population Mean (\(\sigma\) is Known)** You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.05\). - \(H_0: \mu = 53.7\) - \(H_a: \mu > 53.7\) You believe the population is normally distributed and you know the population standard deviation is \(\sigma = 10.1\). You obtain a sample mean of \(M = 57.5\) for a sample of size \(n = 63\). **What is the test statistic for this sample?** (Report answer accurate to three decimal places.) - test statistic = [ ] **What is the p-value for this sample?** (Report answer accurate to three decimal places.) - p-value = [ ] The p-value is... - ( ) less than (or equal to) \(\alpha\) - ( ) greater than \(\alpha\) This test statistic leads to a decision to... - ( ) reject the null hypothesis - ( ) accept the null hypothesis - ( ) fail to reject the null hypothesis As such, the final conclusion is that... - ( ) There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 53.7. - ( ) There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 53.7. - ( ) The sample data support the claim that the population mean is greater than 53.7. - ( ) There is not sufficient sample evidence to support the claim that the population mean is greater than 53.7.
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