II. COMPUTATION SKILLS.
For item no. 29-32: Below is a sampling distribution of the sample means from the given problem. Check if the table is correct by listing all the possible samples and the corresponding mean.
Problem: A population consists of the five numbers 2,4,6 and 8. Consider samples of size 2 that can be
Probability P( overline x )
1/6
1/6
1/3
1/6
1/6
For item no. 33-40: Consider a population consisting of the values 2, 4, 6 . List all the possible samples of size n = 2 which can be drawn with replacement from the population. Describe the sampling distribution of the sample means.
33-34. Compute for the mean and variance of the population.
35-40. Find the mean, variance, and standard deviation of the sampling distribution of the sample means.
2
1
1
Sample Mean
3
5
6
7
Frequency
1
1
4
drawn from the population.
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