Repeat Exercise 2.213 using populations with different shaped distributions.

a. Use a uniform or rectangular distribution. (Replace the subcommands used in Exercise 2.213;

in place of NORMAL use: UNIFORM with a low of 50 and a high of 150, and use class boundaries of 50 to 150 in increments of 10.)

b. Use a skewed distribution. (Replace the subcommands used in Exercise 2.213; in place of NORMAL use: POISSON 50 and use class boundaries of 20 to 90 in increments of 5.)

c. Use a J-shaped distribution. (Replace the subcommands used in Exercise 2.213; in place of NORMAL use: EXPONENTIAL 50 and use class boundaries of 0 to 250 in increments of 10.)

d. Does the shape of the distribution of the population have an effect on how well a sample of size 30 represents the population? Explain.

e. What effect do you think changing the sample size has on the effectiveness of the sample to depict the population? Try a few different sample sizes. Do the results agree with your expectations?

Explain.