Homework #4

It's kind of last minute, but... Exercises for Homework #4, due tomorrow, are:
8.19
8.21 a
8.43
8.65 a and c
9.31
9.45
9.59 a

In bothers me a bit that in the hypothesis testing that we're asked to do in the chapter 9 exercises, the sample means seem to fall either significantly outside the non-rejection region or clearly within the non-rejection region. You would think that these problems would involve more borderline cases where the you couldn't just solve the problem by inspection.

Case in point: One problem has a sample that has a std dev of around 25 and the sample mean is only about 1.5 less than the H₀ mean and we're asked to assess H₀ at a 0.05 level of significance. Isn't it obvious?