a. Use software to draw five random samples, each of size n = 25, from an actual normal probability distribution with mean 0 and standard deviation 1. Create a normal probability plot and histogram for each “sample.”
b. Use software to draw five random samples, each of size n = 50, from an actual normal probability distribution with mean 0 and standard deviation 1. Create a normal probability plot and histogram for each “sample.”
c. Describe how changing sample size impacts our ability to determine if a sample is truly from a normal distribution.
d. Use software to draw six random samples, each of size n = 50, from an actual normal probability distribution. Use means of –20 and 15 and standard deviations of 0.1, 3, and 300. Create a normal probability plot and histogram for each “sample.” Explain why the mean and standard deviation of a population do not impact the normal probability plots.