A tea company appoints four salesmen A, B, C and D and observes their sales in three months, April, May and June: Months Salesmen A B C D April May June 36 28 26 36 29 28 21 31 29 35 32 29 2 For the two –way analysis of variance model with one observation per cell, we write the observation from the th j group and th i block as ij i j ijY µ β τ ε = + + + (e) Prepare a two –way analysis of variance table.

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A tea company appoints four salesmen A, B, C and D and observes their sales in three months, April, May and June:
Months Salesmen
A B C D
April May June
36 28 26
36 29 28
21 31 29
35 32 29
2
For the two –way analysis of variance model with one observation per cell, we write the observation from the th j group and th i block as
ij i j ijY µ β τ ε = + + +

(e) Prepare a two –way analysis of variance table.
(f)  Test at the 5% level of significance the null hypothesis that there is significant difference in sales made by the four salesmen.
(g)  Test at the 5% level of significance the null hypothesis that there is significant difference in the sales made during different months.

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