The numbers 1 through 10 have a mean of 5.5 and a standard deviation of 2.9. The shape of the distribution is uniformly flat because all numbers are equally likely. Consider the distribution of sample mean number when 4 students pick a number at random from 1 to 10, compared to the distribution when 25 students pick a number at random from 1 to 10.
a. Compare the centers of the distributions for 4 versus 25 selections.
b. Compare the spreads of the distributions for 4 versus 25 selections.
c. Compare the shapes of the distributions for 4 versus 25 selections.