For example 10.8 on page 429 in the textbook (this example is also in our lecture note Ch10d-Note.pdf), let us use =0.01, I = 4, =1. Use R function power.anova.test() to do the following: (a) Suppose the sample size for each heat treatment is J = 8, find the type II error probability of the F-test when the alternative a: 1 = 2, 3 = 4 = 1 + 1 is true. (b) Suppose we would like the type II error probability for our F-test to be 0.05 under the alternative in (a), find the sample size for each treatmen

Explain it clearly and need only typed answers Thank you