Suppose a random sample of n observations has been taken from a certain population and Mean has been computed to, say, estimate the population mean. It should be clear that if we were to take a second random sample of size n from this population, it would be unreasonable to expect an identical value of Mean, while if we were to draw several more samples, perhaps none of the Means would be the same. The differences between such means are generally attributed to chance, raising important questions about their distribution and specifically about the degree of their random fluctuations. Suppose that X-DU(9) for X = {, 1, 2, ...,9}- a) Obtain 75 samples and the mean of each, knowing that each sample has a probability distribution of 10 consecutive data. b) Make a table of means, group into classes and graph. c) What can we conclude about the means, with respect to the random samples?
