In a recent study, researchers examined the effects of two variables on automobi
ID: 3269777 • Letter: I
Question
In a recent study, researchers examined the effects of two variables on automobile sales. The researchers collected sales data from automobile dealers in three cities (Grand Rapids, Detroit, and Lansing) and average automobile price at three levels (Low, Medium, and High). The researchers then compared the individual effects and combined effects of each variable on annual automobile sales. Partial results are shown below ( = 0.05).
a. What is the total sample size for this study?
b. What are the degrees of freedom for the error term?
c. What is the value of MS for the interaction term?
d. What is Fcalc for dealer location?
e. Which of the following is/are true of the managerial conclusion(s)?
A. There is an effect due to dealer location.
B. There is an effect due to automobile price.
C. There is an effect due to the interaction between dealer location and automobile price.
D. A and B above.
E. A and C above.
Source of Variation Sum of Squares Degrees ofMean Square |F-calculated Freedom Dealer Location (Factor A) Average Price (Factor B)6.03 Interaction (Factor AB) Error Total 4A1 327.09 542.87 149Explanation / Answer
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F-calculated
Dealer Location (Factor A)
28.88
2
14.44
6.22
Average Price (Factor B)
6.03
2
3.015
1.29
Interaction (Factor AB)
180.87
4
45.217
19.49
Error
327.09
2.31
Total
542.87
149
A) What is the total sample size for this study?
150
B) What are the degrees of freedom for the error term?
141
C) .What is the value of MS for the interaction term?
45.21
D ) What is Fcalc for dealer location?
6.23
E) .Which of the following is/are true of the managerial conclusion(s)?
a and c above.
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
F-calculated
Dealer Location (Factor A)
28.88
2
14.44
6.22
Average Price (Factor B)
6.03
2
3.015
1.29
Interaction (Factor AB)
180.87
4
45.217
19.49
Error
327.09
2.31
Total
542.87
149
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