Please show all work and explanation. Thank you and I will upvote.

Q6. (EXTRA CREDIT) You are testing Ho: ul - 12 = 0 vs Ha: pl - 42 # 0. In doing so, you are choosing al observations from population 1, and /2 observations from population 2. Keeping the same total / = 100 = nl + /2, compute the power of the test to detect a difference of 0.6, with a population standard deviation of 1.0 when: n1 = 0.1*n2, n1 = 0.2*n2, n1 = 0.3*n2, ..., n1 = 1.0*n2, n1 = 2*n2, n1 = 3*n2, ...., ml = 10*n2. Plot the result and indicate, in your own words, what the effect is of having nl#2, while retaining the same total number of observations