Question

A population consists of the following five values: 10, 14, 15, 16, and 20.

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

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

Answer 1

Solution:

the population consists of the following five values

10,14,15,16,20

i.e. N=5

Let , sample size n=3

Therefore, the number of all possible samples is

NCn= 5C3= 10

Following table shows all possible samples and means of each sample

Sr.no.	possible samples	sample mean
1	10,14,15	13
2	10,14,16	13.33
3	10,14,20	14.67
4	10,15,16	13.67
5	10,15,20	15
6	10,16,20	15.33
7	14,15,16	15
8	14,15,20	16.33
9	14,16,20	16.67
10	15,16,20	17
Total		150