Question

1. The table below provides some information about the possible outcomes of a particular study. From the information provided determine the effect size and power of each scenario. Sketch the distributions involved and show the areas representing alpha, beta, and power for each scenario. You can assume that all the populations are normally distributed.

Hint 1: For scenario 1, the power is 80.23%. For scenario 2 the power is 99.63. So be sure to show your work for the rest of the marks.

Hint 2: For scenario 4, you’ll need to add power from both ends of the curve (two-tailed).

Scenario	Population parameters	Predicted mean	Sample size	Significance level	One or two-tailed
1	μ = 90 σ = 4	M = 91	100	0.05	one-tailed
2	μ = 90 σ = 4	M = 92	100	0.01	one-tailed
3	μ = 90 σ = 2	M = 91	100	0.05	one-tailed
4	μ = 90 σ = 4	M = 91	16	0.01	two-tailed

Answer 1