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In: Statistics and Probability

A sample of size 81 is taken from a population with unknown mean and standard deviation...

A sample of size 81 is taken from a population with unknown mean and standard deviation 4.5.  

In a test of H0: μ = 5 vs. Ha: μ < 5, if the sample mean was 4, which of the following is true?

(i) We would fail to reject the null hypothesis at α = 0.01.

(ii) We would fail to reject the null hypothesis at α = 0.05.

(iii) We would fail to reject the null hypothesis at α = 0.10.

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