Power calculation question (meant to replace Ch. 16,29,30,32): Assume we have a balanced single factor model with r=5, alpha=0.01, beta=0.05 and sigma=10. For the sum to zero alternative tau=(-3,-2,1,3,1) calculate the sample size to achieve the power=1-beta

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.