(a) Obtain 100 samples of size 10 each from the normal distribution with mean 100 and variance 25. For each sample, test the hypothesis μ₀ = 100 against the alternative μ₁ > 100 at the level of α = 10%. Record the number of rejections of the hypothesis. Do the whole experiment once more and compare.

(b) Set up a similar experiment for the variance of a normal distribution and perform it 100 times.