Question

A marketing organization wishes to study the effects of four sales methods on weekly sales of a product. The organizatio...

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 output of a randomized block ANOVA of these data.

Salesman, j
Sales Method, i A B C
1 32 29 30
2 32 30 28
3 28 25 23
4 24 24 23
Analysis of Variance
Source DF Sum of Squares Mean Square F Ratio
Model 5 119.33333 23.8667 19.5273
Error 6 7.33333 1.2222 Prob > F
C. Total 11 126.66667 25.0889 0.0012*
Effect Tests
Source Nparm DF Sum of Squares F Ratio Prob > F
Method 3 3 100.666670 27.4545 0.0007*
Salesman 2 2 18.666670 7.6364 0.0224*
Least Squares Means Estimates
Method Estimate Salesman Estimate
1 30.333333 A 29.000000
2 30.000000 B 27.000000
3 25.333333 C 26.000000
4 23.666667

Tukey HSD All Pairwise Comparisons

Quantile = 3.46171, Adjusted DF = 60, Adjustment = Tukey

Method -Method Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95%
1 2 0.333333 0.9026709 0.37 0.9812 −2.79145 3.458110
1 3 5.000000 0.9026709 5.54 0.0059* 1.87522 8.124780
1 4 6.666667 0.9026709 7.39 0.0013* 3.54189 9.791450
2 3 4.666667 0.9026709 5.17 0.0083* 1.54189 7.791450
2 4 6.333333 0.9026709 7.02 0.0017* 3.20855 9.458110
3 4 1.666667 0.9026709 1.85 0.3397 −1.45811 4.791450

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 3 decimal places. Negative amounts should be indicated by a minus sign.)

Method 1-Method 2:

Method 1-Method 3:

Method 1-Method 4:

Method 2-Method 3:

Method 2-Method 4:

Method 3-Method 4:

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