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The sample mean to be calculated from a random sample of size n = 4 from a population consists of the eight measurements (2, 6, 9, 12, 25, 29, 39, 50). Find the sampling distribution of y-. (Hint: There are 70 samples of size 4 when sampling from a population of eight measurements.)
a. Does the sampling distribution appear to be approximately normal?
b. Verify that the mean of the sampling distribution of y- equals the mean of the eight population values.
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Draw a tree diagram to show all possible outcomes of the experiment. Label the probability associated with each stage of the experiment on the appropriate branch.
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