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?
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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Related questions
Question

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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