SOLUTION: A population consists of the following five values: 0, 0, 3, 5, 6. a. List all samples of size 3, and compute the mean of each sample. (Round sample means to 2 decimal place

Question 1069107: A population consists of the following five values: 0, 0, 3, 5, 6.

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

Sample Values Sum Mean
1 0, 0, 3

2 0, 0, 5

3 0, 0, 6
4 0, 3, 5

5 0, 3, 6
6 0, 5, 6

7 0, 3, 5

8 0, 3, 6

9 0, 5, 6

10 3, 5, 6

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

Sample means

Population mean

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
0, 0, 3 mean 1
0, 0, 5 mean 1.67
0, 0, 6 mean 2
0, 3, 5 mean 2.67
0, 3, 6 mean 3
0, 5, 6 mean 3.67
0, 3, 5 mean 2.67
0, 3, 6 mean 3
0, 5, 6 mean 3.67
3, 5, 6 mean 4.67
Sum is 24+4.02=28.02
Divided by 10, the mean of the 10 samples is 2.80
The mean of the population 0,0,3,5,6 is 14/5=2.80
All possible samples from a population with a given sample size will have a mean equal to the population mean. We call that unbiased.
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