Hypothesis Test for a Population Mean (o is Known)You wish to test the following claim (Ha) at a significancelevel of a = 0.005.H.:µ = 62.8Ha: µ > 62.8You believe the population is normally distributed and youknow the standard deviation is o = 16.4. You obtain asample mean of M = 69.5 for a sample of size n = 66.What is the test statistic for this sample? (Report answeraccurate to three decimal places.)test statistic =What is the p-value for this sample? (Report answeraccurate to four decimal places.)p-value =The p-value is...less than (or equal to) aO greater than aThis test statistic leads to a decision to...O reject the nullaccept the nullO fail to reject the nullAs such, the final conclusion is that...O There is sufficient evidence to warrant rejection ofthe claim that the population mean is greater than62.8.O There is not sufficient evidence to warrantrejection of the claim that the population mean isgreater than 62.8.O The sample data support the claim that thepopulation mean is greater than 62.8.There is not sufficient sample evidence to supportthe claim that the population mean is greater than62.8.

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Answered: Hypothesis Test for a Population Mean…

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 (o is Unknown) You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 73.1 Ha:µ > 73.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 223 with mean M = 74 and a standard deviation of SD = 5.2. 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 four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 73.1. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 73.1. O The sample…
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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 = 0.005. H.:µ = 62.8 Ha:µ > 62.8