Question

Four salesmen in XYZ Company are competing for the little ‘Salesman of the year’. Each has a
task of selling milk in three different types of locations. Their resulting sales, in K’000, were as
follows:
Area Salesmen
A B C D
1 52.8 49.4 58.6 42.9
2 60.1 48.1 61.0 50.3
3 62.0 56.4 63.3 61.2

(a) Write down a model for the above design. Explain each term in the model in the context
of the given information
(b) What is the blocking variable and what is the treatment?
(c) Prepare a two –way analysis of variance table.
(d) Test at the 5% level of significance the null hypothesis that the population mean sales are
identical for all four salesmen.
(e) Test at the 5% level of significance the null hypothesis that the population mean yields
are the same for all three different types of location.