Question

A population consists of the following five values: 13, 13, 12, 16, and 19.

(a)	List all samples of size 3, and compute the mean of each sample. (Round your Mean values to 2 decimal places.)

Sample	Values	Sum	Mean
1	(Click to select)13,16,1913,13,1613,13,1213,12,16
2	(Click to select)13,13,1213,13,1613,12,1613,16,19
3	(Click to select)13,13,1613,13,1213,12,1613,13,19
4	(Click to select)13,13,1213,16,1913,12,1613,13,16
5	(Click to select)13,12,1613,12,1913,16,1913,13,12
6	(Click to select)13,12,1613,16,1913,13,1213,12,19
7	(Click to select)13,13,1213,16,1913,12,1612,16,19
8	(Click to select)13,13,1213,12,1912,16,1913,16,19
9	(Click to select)13,13,1213,12,1613,16,1912,16,19
10	(Click to select)12,16,1913,13,1213,16,1913,12,19

       

(b)	Compute the mean of the distribution of sample means and the population mean. (Round your answers to 2 decimal places.)

Mean of the distribution of the sample mean
Population mean

Answer 1

Sample	values	Sum	mean
1	13,13,12	38	12.66667
2	13,13,16,	42	14
3	13,13,19	45	15
4	13,12,16	41	13.66667
5	13,12,19	44	14.66667
6	13,16,19	48	16
7	13,12,16	41	13.66667
8	13,12,19	44	14.66667
9	13,16,19	48	16
10	12,16,19	47	15.66667
		Total	146

Mean of the distribution of the sample mean = 146 / 10 = 14.60

Population mean = (13 + 13 +12 + 16 + 19 ) / 5 = 14.60