A small population of N = 10 has values of 4, 7, 2, 11, 5, 3, 4, 6, 10, and 1.
a. Calculate the mean and standard deviation for the population.
b. Take 10 simple random samples of size 3, and calculate the mean for each.
c. Calculate the mean and standard deviation of all these sample means. How closely does the mean of all sample means match the population mean? How is the standard deviation of the means related to the standard deviation for the population?