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 Figure 12.8, along with the Excel output of a ran- domized block ANOVA of these data. DS SaleMeth 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? b Test the null hypothesis Ho that no differences exist between the effects of the salesmen (blocks) on mean weekly sales. Set a = .05. Can we conclude that the different salesmen have different effects on mean weekly sales? 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?

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Question 1
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 Figure 12.8, along with the Excel output of a ran-
domized block ANOVA of these data. Os SaleMeth
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?
b Test the null hypothesis Ho that no differences exist between the effects of the salesmen
(blocks) on mean weekly sales. Set a = .05. Can we conclude that the different salesmen
have different effects on mean weekly sales?
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?
FIGURE 12.8 The Sales Method Data and the Excel Output of a Randomized Block ANOVA OS SaleMeth
ANOVA: Two-Factor without Replication
Salesman, j
Sales Method, i
A
B
SUMMARY
Count
Sum
Average
30.3333
Variance
2.3333
1
32
Method 1
3
91
2
32
Method 2
3
90
30
4
3
28
Method 3
3
76
25.3333
6.3333
1
4
25
Method 4
3
72
24
Salesman A
4
117
29.25
11.5833
Salesman B
4
108
27
8.6667
Salesman C
4
104
26
12.6667
ANOVA
Source of Variation
P-value
F crit
MS
31.1944
Rows
0.0003
4.7571
Columns
11.0833
0.0068
5.1433
Error
0.8611
Total
SS
93.5833
22.1667
5.1667
120.9167
29
30
25
24
638338
с
30
28
23
23
df
3
2
6
11
F
36.2258
12.8710
Transcribed Image Text:Question 1 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 Figure 12.8, along with the Excel output of a ran- domized block ANOVA of these data. Os SaleMeth 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? b Test the null hypothesis Ho that no differences exist between the effects of the salesmen (blocks) on mean weekly sales. Set a = .05. Can we conclude that the different salesmen have different effects on mean weekly sales? 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? FIGURE 12.8 The Sales Method Data and the Excel Output of a Randomized Block ANOVA OS SaleMeth ANOVA: Two-Factor without Replication Salesman, j Sales Method, i A B SUMMARY Count Sum Average 30.3333 Variance 2.3333 1 32 Method 1 3 91 2 32 Method 2 3 90 30 4 3 28 Method 3 3 76 25.3333 6.3333 1 4 25 Method 4 3 72 24 Salesman A 4 117 29.25 11.5833 Salesman B 4 108 27 8.6667 Salesman C 4 104 26 12.6667 ANOVA Source of Variation P-value F crit MS 31.1944 Rows 0.0003 4.7571 Columns 11.0833 0.0068 5.1433 Error 0.8611 Total SS 93.5833 22.1667 5.1667 120.9167 29 30 25 24 638338 с 30 28 23 23 df 3 2 6 11 F 36.2258 12.8710
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