Suppose that, in the two-way analysis of variance setup with one observation per cell, there are just two groups. Show in this case that the F ratio for testing the equality of the group population...

Suppose that, in the two-way analysis of variance setup with one observation per cell, there are just two groups. Show in this case that the
F
ratio for testing the equality of the group population means is precisely the square of the test-statistic discussed in Section 10.1 for testing equality of population means, given a sample of matched pairs. Hence, deduce that the two tests are equivalent in this particular case.