12. scrapper elevator company has 20 sales representatives who sell its product throughout
the united states and canada. the number of units sold last month by each representative
is listed below. assume these sales figures to be the population values.
2 3 2 3 3 4 2 4 3 2 2 7 3 4 5 3 3 3 3 5
a. draw a graph showing the population distribution.
b. compute the mean of the population.
c. select five random samples of 5 each. compute the mean of each sample. use the
methods described in this chapter and appendix b.4 to determine the items to be included in the sample.
d. compare the mean of the sampling distribution of the sample mean to the population
mean. would you expect the two values to be about the same?
e. draw a histogram of the sample means. do you notice a difference in the shape of the
distribution of sample means compared to the shape of the population distribution?