In: Statistics and Probability
A box contains 5 chips marked 1, 2, 3, 4, and 5. One chip is drawn at random, the number on it is noted, and the chip is replaced. The process is repeated with another chip. Let X1, X2, X3 and X4 the outcomes of the three draws which can be viewed as a random sample of size 4 from a uniform distribution on integers.
a) Calculate the Skewness and Kurtosis for the sample mean (X bar ). Explain your results