To compare mean monthly sales (per salesperson) in three territories (A, B, and
ID: 3134048 • Letter: T
Question
To compare mean monthly sales (per salesperson) in three territories (A, B, and C), 8 salespersons were randomly and independently selected from each of the three territories. After recording the monthly sales of the 24 salespersons, Anova test for this completely randomized design was conducted, and the following incomplete Anova table is available. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 30 Error Total 72 1) what is the F statistic 2)what is the P-value of the test? 3)if the test is conducted at a 5% significance level the null hypothesis is rejected if? 4)at 5% significance level the conclusion of the test is?
Explanation / Answer
To compare mean monthly sales (per salesperson) in three territories (A, B, and C), 8 salespersons were randomly and independently selected from each of the three territories. After recording the monthly sales of the 24 salespersons, Anova test for this completely randomized design was conducted, and the following incomplete Anova table is available. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments 30 Error Total 72
Source
SS
Df
MS
F
treatment
30
2
15
7.5000
Error
42
21
2
Total
72
23
1) what is the F statistic F=7.5
2). what is the P-value of the test
Df1=2, Df2=21
P=0.0035
3)if the test is conducted at a 5% significance level the null hypothesis is rejected if
Calculated F >3.47, the critical value. or calculated P< 0.05
4)at 5% significance level the conclusion of the test is?
We reject the null hypothesis.
We conclude that mean monthly sales (per salesperson) in three territories (A, B, and C) are significantly different.
Source
SS
Df
MS
F
treatment
30
2
15
7.5000
Error
42
21
2
Total
72
23
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