The following data represent the number of days of absence per year for a population of six employees of a small company: 1, 3, 6, 7, 7, 12.

a) If all possible samples of size n=3 are taken, establish the sampling distribution of the mean. Assume sampling without replacement.

b) If all possible samples of size n=3 are taken, establish the sampling distribution of the mean. Assume sampling with replacement.