7) Personal phone calls received in the last three days by a new employee were 4,...

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7) Personal phone calls received in the last three days by a newemployee were 4, 1, and 8. Assume that samples of size 2 arerandomly selected with replacement from this population of threevalues. a) List the nine different possible samples of size 2 andfind the mean of each of them. b) The probability for each samplemean in Part a) is 1/9. Summarize your results in Part a) byconstruct ing a sampling distribution for these sample means. c)Find the expected value based on Part b). This expected value isalso the mean of all the nine sample means found in Part a). d)Find the population mean of the personal phone calls received inthe last three days by a new employee: {2, 3, 7} and compare itwith your result in Part c).

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