For the sake of argument, let us assume that His Honor, Judge Sushi intends to rule in favor of MSF

For the sake of argument, let us assume that His Honor, Judge Sushi intends to rule in favor of MSF. However, he is rather apprehensive of errors in any statistical testing, especially with respect to Type I and Type II error. Let us assume he picked a 95% significance level to be the benchmark of this court case.

In the original hypothesis test, the rejection region was z < -1.96.
This means that the rejection region is (x-bar-2.4)/.177 < -1.96 or x-bar < 2.053

What is the probability of a Type I error?

What if the RDA of cobalamine is actually not well established in the medical community? In fact, it may span a range of values in µg, 2.0, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6. What is the corresponding Type II error and power for each of the given assumed RDA value?