The heat evolved in calories per gram of a cement mixture is normally distributed with standard deviation 2. We wish to test the hypothesis that the...

The heat evolved in calories per gram of a cement mixture is normally distributed with standard deviation 2. We wish to test the hypothesis that the mean μ = 100 against the alternative μ ≠ 100.i) If the rejection region is defined as (-∞,98.5]∪[101.5,∞], find the type I error probability.ii) Find the type II probability when the true mean heat evolved is 103.