Sampling Distribution of the Sample Mean 5. Given the mean (p) and standard deviation (o) for Normal populations, and the sample size (n), describe the sampling distributions of Xcomputed from the samples (center, spread, shape). Based on these descriptions, scale the X-axis for each distribution. a. u = 20, 0 = 8, n = 4 Center: E(X) Spread: Shape: b. H = 20, 0 = 4, n = 4 Center: E(X) Spread: ox Shape: C. H = 20, 0 = 4, n = 16 Center: E( X) Spread: Shape: d. For each of these 3 sampling distributions, shade the area under the curve that corresponds to the probability P [ X 2 27 ] (Problem continued on the next page) 6.4 e. What happens to the probability P [ X2 22 1when o decreases from 8 to 4? Explain why this happens based on what you know about factors that influence the sampling distribution of the mean