I am struggling with the following question
Suppose we have randomly assigned 50 patients to the new treatment group and the other 50 patients to the conventional treatment group. Assuming both distributions follow normal distribution, with means µ1 and µ2, respectively, with standard deviations of the two groups are assumed to be 1.
The researcher expects to see a difference in the means ∆ = µ1 − µ2 = 0.6. She plans to employ a simple one-sided test for the two groups comparison at the significance level α = 0.05. What is the power of detecting such a difference based on the sample she has?
I know the power is probability of rejecting the null hypothesis if the null hypothesis is false But I am not sure how to proceed at all from here? How do we know any probability here. Any help to get me started is much appreciated