Question

A sales analyst wants to determine whether there is a difference in the mean monthly sales of a company’s four sales regions. Several salespersons from each region are randomly selected and each provides his or her sales amounts (in thousands of dollars) for the previous month. The results are listed in the following table. At alpha = 0.05, can the analyst conclude that there is a difference in the mean monthly sales among the sales regions? Assume that each population of sales is normally distributed and that the population variances are equal.

North	East	South	West
34	47	40	21
28	36	30	30
18	30	41	24
24	38	29	37
	44		23
x-bar1 = 26	x-bar2 = 39	x-bar3 = 35	x-bar4 = 27
s21 = 45.33	s22 = 45	s23 = 40.67	s24 = 42.5

Do the following:
a) State the null and alternative hypothesis
b) Specify the level of significance alpha
c) Determine the degrees of freedom for the numerator and the denominator
d) Find the critical value and identify the rejection region
e) Find the test statistic F
f) Decide whether to reject the null hypothesis.
g) Is there enough evidence to conclude that there is a difference in the mean monthly sales among the sales regions?

solve by drawing anova table

Answer 1