Problem#8. Consider the population {2, 4, 6}. You randomly choose two numbers from the population with replacement. List all possible samples of size n=2 and calculate the mean of each. This means form the sampling distribution of the sample means. Find the mean, variance, and standard deviation of the sample means.Show all your steps. (8 points).
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There are 3 elements in the population, and we are choosing 2 elements with replacement. So, there are a total of 3^2 = 9 possible samples: {(2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4), (6, 6)} Show more…
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