a Generate samples of size 25, 50, and 100 from a normal distribution. Construct probability plots and hanging rootograms. Do this several times to get an idea of how probability plots behave when the underlying distribution is really normal.
b Repeat part (a) for a chi-square distribution with 10 df.
c Repeat part (a) for Y = Z/U, where Z Â N(0, 1) and U Â U[0, 1] and Z and U are independent.
d Repeat part (a) for a uniform distribution.
e Repeat part (a) for an exponential distribution.
f Can you distinguish between the normal distribution of part (a) and the subsequent non normal distributions?