SOLUTION: A population consists of the following five values: 2, 2, 5, 6, and 8. List all samples of size 3, and compute the mean of each sample. (Round your mean value to 2 decimal plac

Question 1118539: A population consists of the following five values: 2, 2, 5, 6, and 8.

List all samples of size 3, and compute the mean of each sample. (Round your mean value to 2 decimal places.)
Compute the mean of the distribution of sample means and the population mean. Compare the two values. (Round your answers to 1 decimal place.)
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
5C3 = 5! / (3! * (5-3)!) = 10 samples of size 3
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population is 2, 2, 5, 6, 8 mean is 4.6
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2, 2, 5 mean is 3
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2, 2, 6 mean is 3.33
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2, 2, 8 mean is 4
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2, 5, 6 mean is 4.33
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2, 5, 8 mean is 5
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5, 6, 8 mean is 6.33
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2, 5, 6 mean is 4.33
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2, 5, 8 mean is 5
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2, 6, 8 mean is 5.33
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2, 6, 8 mean is 5.33
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population mean is 4.6
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mean of the distribution of sample means is (3 +3.33 +4 +4.33 +5 +6.33 +4.33 +5 +5.33 +5.33) / 10 = 4.598 is approximately 4.6
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population mean is equal to the mean of the distribution of sample means
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