15. The power curves of Figures 10.5 and 10.6 can be used to obtain

P(type II error) for the F test in two-factor ANOVA. For fixed values of 1, 2, . . . , I, the quantity

2
(J/I)
2 i /2 is computed. Then the figure corresponding to 1
I  1 is entered on the horizontal axis at the value

, the power is read on the vertical axis from the curve labeled 2
(I  1)(J  1), and

1  power.

a. For the corrosion experiment described in Exercise 2, find
when 1
4, 2
0, 3
4
2, and 
4.

Repeat for 1
6, 2
0, 3
4
3, and 
4.

b. By symmetry, what is
for the test of H0B versus HaB in Example 11.1 when
1
.3,
2

3

4
.1, and


.3?