Question

A population consists of the following five values: 1, 2, 4, 4, and 6.

a) List all samples of size 2 from left to right, and compute the mean of each sample. (Round your mean value to 1 decimal place.)

Samples	Values	Sum	Mean
1
2
3
4
5
6
7
8
9
10

b) Compute the mean of the distribution of sample means and the population mean. Compare the two values. (Round your answers to 1 decimal place.)

Sample means
Population mean

Answer 1

a) From the given data

				Sampling distribution
Samples	1st draw	2nd draw	Sum	of mean
1	1	2		1.5
2	1	4		2.5
3	1	4		2.5
4	1	6		3.5
5	2	4		3
6	2	4		3
7	2	6		4
8	4	4		4
9	4	6		5
10	4	6		5
		Total:		34

b) Mean of Sampling distribution of mean is 34/10 = 3.4

The sample means is 3.4

The population mean is (1 +2 + 4 + 4 + 6) /5 = 3.4

Therefore the mean of sampling distribution of mean is population mean