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Statistics - Hypothesis Testing

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Supposed we wish to test H0: µ = 10 vs. H1: µ > 10 at the α = 0.05 significant level. Furthermore, supposed that we observe values of the sample mean and sample standard deviation when n=40 that do not lead to the rejection of H0. Is it true that we might reject H0 if we observed the same values of the sample mean and sample standard deviation from a sample with n > 40? Why or why not?

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For the same values of the sample mean (x-bar) and the sample standard deviation (s) fixed, as the sample size (n)
increases, the ...

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