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