Question 2:

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 JMP output of a randomized block ANOVA of these data. Salesman, j Sales Method, i A B C 32 29 30 32 30 28 28 25 23 25 24 22 Analysis of Variance Sum of Mean Source DF Squares Square F Ratio Model 5 125.83333 25. 1667 31 . 2414 Error 6 4.83333 0.8056 Prob > F C. Total 11 130. 66667 25.9723 0. 0903* Effect Tests Sum of Source Nparm DF Squares F Ratio Prob > F Method 3 3 100.666670 41.6552 0. 0902* Salesman 2 2 25. 166670 15.6207 0. 0042*Least Squares Means Estimates Method Estimate Salesman Estimate 30. 333333 A 29. 250000 INP 30.090000 27.000909 25.333333 25.750900 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% 0.333333 0. 7328281 0.45 0. 9662 -2. 20350 2. 870170 5.000000 0. 7328281 6.82 0. 0020* 2.46316 7.536840 6. 666667 0. 7328281 9.10 0.0004* 4. 12983 9.203500 WNNPAP 4. 666667 0. 7328281 6.37 0. 0029* 2. 12983 7. 203500 6.333333 0. 7328281 8.64 0.0005* 3.79650 8.870170 1. 666667 0. 7328281 2.27 0. 2062 -0.87017 4.203500 (a) Test the null hypothesis He that no differences exist between the effects of the sales methods (treatments) on mean weekly sales. Set a = 05. Can we conclude that the different sales methods have different effects on mean weekly sales? F = 41.6552, p-value = 0.0002; HO: there is a in sales methods.{b} Test the null hypothesis. He that no differences exist between the effects of the salesmen (blocks) on mean weekly sales. Set (I = .05. Can we conclude that the different salesmen have different effects on mean weekly sales? 562w __-amemomm [1:] Use Tukeg.r simultaneous 95 percent condence intervals to make pairwise comparisons ofthe sales method effects on mean weekly sales. Which sales methodisj 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