A marketing organization wishes to study the effects of four sales methods on we

Question

A marketing organization wishes to study the effects of four sales methods on weekly sales of a product. The organization employs a randomized block design in which three salesman use each sales method. The results obtained are given in the following table, along with the Excel output of a randomized block ANOVA of these data.

Test the null hypothesis H0 that no differences exist between the effects of the sales methods (treatments) on mean weekly sales. Set = .05. Can we conclude that the different sales methods have different effects on mean weekly sales?

Test the null hypothesis H0 that no differences exist between the effects of the salesmen (blocks) on mean weekly sales. Set = .05. Can we conclude that the different salesmen have different effects on mean weekly sales?

Use Tukey simultaneous 95 percent confidence intervals to make pairwise comparisons of the sales method effects on mean weekly sales. Which sales method(s) maximize mean weekly sales? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)

A marketing organization wishes to study the effects of four sales methods on weekly sales of a product. The organization employs a randomized block design in which three salesman use each sales method. The results obtained are given in the following table, along with the Excel output of a randomized block ANOVA of these data.

Explanation / Answer

a) H0 : There is no differences exist between the effects of the sales methods (treatments) on mean weekly sales.

H1: Atleast one treatment is not equal

alpha:5%

F cal=0.000

conclusion : P<0.05, we reject the H0. The claim is significant.

b) H0 : There is no differences exist between the effects of the salesmen (blocks) on mean weekly sales

H1:There is a differences exist between the effects of the salesmen (blocks) on mean weekly sales

alpha:5%

P=0.000 <0.05 we reject the Ho. Hence claim is significant

c) We have MSW=0.86 and HSD value=2.62

Absolute Std. Error Critical Comparison Difference of Difference Range Results Group 1 to Group 2 0.33 0.535 2.62 Means are not significant Group 1 to Group 3 5 0.535 2.62 Means are different Group 1 to Group 4 6.33 0.535 2.62 Means are different Group 2 to Group 3 4.67 0.535 2.62 Means are different Group 2 to Group 4 6 0.535 2.62 Means are different Group 3 to Group 4 1.33 0.535 2.62 Means are not different

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