The Scrapper Elevator Company has 20 sales representatives who sell their product throughout the United States and Canada. The number of units sold 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 5 random sample of 5 each. Compute the mean of each 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?
This solution contains a graph that shows the population distribution, it also determines the mean for various samples and compares the mean of sampling distribution to the population mean.