You wish to test the following claim (Ha) at a significance level of a = 0.02.Ho: μ = 67.8Ha : μ < 67.8You believe the population is normally distributed and you know the standard deviation is a = 12.6. Youobtain a sample mean of M = 66.6 for a sample of size n = 26.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 =

Suppose the population mean is µ.

Answered: You wish to test the following claim…

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 wish to test the following claim (H) at a significance level of a = 0.05. H.:µ = 65.2 Ha:µ < 65.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 571 with mean M = 63.2 and a standard deviation of SD = 20.3. 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. less than (or equal to) a O greater than a This test statistic leads to a decision to. reject the null accept the null fail to reject the null As such, the final conclusion is that. O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 65.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 65.2. O The sample data support the claim that the population mean is less than 65.2.…
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