2) Researchers would like to investigate the Baseline Quality of Life (before surgery) of these patients from the two groups (physical problem or appearance). Higher scores mean higher quality of life. Before they analyze their data, they would like to perform a power analysis. The descriptives for the variable "Base_Qol" are: M1 = 66.0, s1 2 = 45.0, n1 = 36 for people who chose surgery to change their appearance and M2 = 63.0, s2 2 = 49.0, n2 = 84 for those who choose surgery for a physical reason.

a) Use these descriptive statistics to find the power for this study. Please show your hand calculations: First, find s2 pooled. Then find g (the sample estimate of d - remember to take the square root of s2 pooled). Always use the absolute value of g (or d) for these calculations. Find , remembering to replace d with g. Find the harmonic mean of the n's because you have unequal sample sizes. Assuming = .05 (two tailed)

b) What is the probability of a Type II error for this study?