STATISTICS (Philippines)

Instructions: Please show a step-by-step explanation and a simplified solution for better understanding, that would be much appreciated. Thank you so much.

A finite population consists of 8 elements.

10 10 10 10 10 12 18 40

a. How many samples of size n=2 can be drawn from this population

b. List all possible samples and the corresponding means

c. Please construct the sampling distribution of the sample mean

d. Also, please draw a histogram of the sampling distribution of the means