In: Statistics and Probability
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.