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Population µ = 100, σ = 20. Planning to have a sample of 50 participants, and expect the sample mean to be 5 points different from the population mean. Use non-directional hypothesis and α = .05.

What is the Power for this planned study?

What is the Power for this planned study?

My calculations:

σ /(SqrRt)n = 20/(SqrRt) 50 = 20/7.071 = 2.828 Standard error

α = .05 = z = +1.96

1.96(2.828) = 5.543

z= (M-µ)/Standard Error = (105.543-105)/2.828 = .543/2.828 = 0.19

Z Table: .19 = .5753

Power = 57.53%