Imagine you have the following information. Use it to calculate power. a. Estimated sample mean = 5 True population mean u: 4.5 Population standard deviation (5 = 1 Planned sample N = 10 Z-cutof'f score = 1.96 rap-.057 What is this study's power?I Now let's change the z-cutof'f to 1.64. What's the power? Now let's just change the pop. standard deviation to 0.5 (you have to calculate new 6:\"). Keep all other original numbers (i.e., ch = 1.96) Power = '9 Now let's just increase the sample size increases to N =50 (calculate a new GM), but keep all other values set to what was originally listed 0 = l, Zcutoff score = 1.96 Power = '9