(a) Use either MegaStat or Excel’s function =RANDQ or Excels Data Analysis > Random Num...

(a) Use either MegaStat or Excel’s function =RANDQ or Excels Data Analysis > Random Numbers to generate 100 uniformly distributed random numbers between 0 and 1. (b) Make a histogram of your sample and assess its shape. (c) Calculate descriptive statistics. Are the sample mean and standard deviation close to their intended values μ = (0 + l)/2 = 0.5000 and = 0.288675? (d) See if the first and third quartiles are approximately 0.25 and 0.75, as they should be. (e) Use a z test

to compare the sample mean to the desired mean. Note: Use z instead of t because the hypothesized mean μ = 0.5000 and standard deviation σ = 0.288675 are known. (f) What would happen if 100 statistics students performed similar experiments, assuming that the random number generator is working correctly?