The robustness of the one-sample t test for a population mean tells us thatthe procedure is robust because it is valid even when the conditions are not metthe procedure is valid even if we do not know the value of the population mean muthe procedure can be valid when the variable is not Normally distributed regardless ofthe sample sizethe procedure is valid even if we do not know the value of the population standarddeviation sigmathe procedure can be valid when the variable is not Normally distributed if the samplesize is large enough

The robustness of the one-sample t test for a population mean tells us that the procedure is robust…

Answered: The robustness of the one-sample t test…

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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Determine your test statistic: either use a z-test or t-test• There are three key questions to ask: Is the variance of the population known? Is the distribution of the population normal (or approx. normal)? Is the sample size large?1. When the variance is known and either the distribution is normal or sample size is large,use a z-test statistic2. When the variance is unknown and a sample size less than 30, use a t-test statistic aslong as the population is normal (or approx. normal)?

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