A population consists of the following five values 0 0 1 3 6

A population consists of the following five values: 0, 0, 1, 3, 6.

a. List all samples of size 3, and compute the mean of each sample.

b. Compute the mean of the distribution of sample means and the population mean. Compare the two values.

c. Compare the dispersion in the population with that of the sample means.

a) all samples of size 3: Sample Mean Population Mean

(0,0,1) 0.33 < 2

(0,0,3) 1 < 2

(0,0,6) 2 = 2

(0,1,3) 1.33 < 2

(0,1,6) 2.33 > 2

(0.3,6) 3 > 2

(1,3,6) 3.333 > 2

b) mean of the distribution of sample means= 1.903

Population mean=2

c) the dispersion in the population with that of the sample means=1.175