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.

(c) Use Tukey simultaneous 95 percent confidence intervals to make pairwise comparis weekly sales. Which sales method(s) maximize mean weekly sales? (Round your answ should be indicated by a minus sign.) Method 1 - Method 2: (2.292) X 2.958 X Method 1 - Method 3: 2.375 X 7.625 X Method 1 - Method 4: 3.708 X 8.958 X Method 2 - Method 3: 2.042 X 7.292 X Method 2 - Method 4: 3.375 X 8.625 X Method 3 - Method 4: (1.292) X 3.959 X(c) Use Tukey simultaneous 95 percent confidence intervals to make pairwise comparisons of the sal weekly sales. Which sales method(s) maximize mean weekly sales? (Round your answers to 3 decim should be indicated by a minus sign.) Method 1 - Method 2: (2.896) X 3.563 X Method 1 - Method 3: 1.770 X 8.230 X Method 1 - Method 4: 4.437 X 10.896 X Method 2 - Method 3: 1.437 X 7.896 X Method 2 - Method 4: 4.104 X 10.563 X Method 3 - Method 4: (0.563) X 5.896 XSalesman, j Sales Method, i A B C 32 29 30 32 30 28 AWNH 28 25 23 25 24 25 Analysis of Variance Sum of Mean Source DF Squares Square F Ratio Model 98. 08333 19 . 6167 13 . 3245 Error 6 8. 83333 1. 4722 Prob > F C. Total 11 106.91667 21 .0889 0 . 0034* Effect Tests Sum of Source Nparm DF Squares F Ratio Prob > F Method 3 16667 8. 3208 0 . 0020* Salesman 2 2 17. 166667 5. 8302 0 . 0392* Least Squares Means Estimates Method Estimate Salesman Estimate 30.333333 A 29 . 250000 0 . 000000 27 . 000000 AWNH 25.333333 26.500000 24 . 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. 9906975 0. 34 0. 9856 -3. 09617 3. 762840 5 . 000000 0. 9906975 5 . 05 0 . 0093* 1. 57050 8. 429500 5 . 666667 0. 9906975 5. 72 0 . 0050* 2. 23716 9. 096170 A AWAWN WNNHHH 4 . 666667 0. 9906975 4.71 0 . 0130* 1. 23716 8. 096170 5.333333 0. 9906975 5 . 38 0 . 0068* 1. 90383 8. 762840 . 666667 0. 9906975 . 67 0. 9036 -2 . 76284 4. 096170(a) Test the null hypothesis Ho 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 (b) Test the null hypothesis an that no differences exist between the effects of the salesmen {blocks} on mean weekly sales. Set (1 = .05. Can we conclude that the different salesmen have different effects on mean weekly sales? F = 5.3302, p-value = 0.0392: (c) 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: [ [ l [ Method 2 Method 3: Method 2 Method 4: Method 3 Method 4