Consider the scores of five students 70, 78, 80, 80, 95. Suppose a random sample of three scores areselected (without replacement). If needed, you may assume order does not matter.

(i) Find the sampling distribution of the sample mean.

(ii) Find the mean of sample mean scores.

(iii) Find the mean of the five scores. (This is the population mean). Compare this with the result in (ii).Explain your observation.