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Category > Math Posted 18 Aug 2017 My Price 10.00

One-Factor ANOVA

A trucking company is planning to buy a new fleet of trucks. They have narrowed the choice to five models, each of which has about the same purchase price. It is decided to conduct a study to determine if there are any differences in the mean (average) direct operating cost of the trucks. Five different drivers were used in the study. Each truck is driven 1,000 miles by each driver and the direct cost per mile recorded. The following results were obtained.

 

 

       Truck

 

 

 

Driver

I

II

III

IV

V

A

31

41

32

28

37

B

31

40

31

29

38

C

37

46

38

35

45

D

33

41

43

40

41

E

30

39

40

44

40

 

#9
What would the appropriate type of analysis be for this data?

 

Two-Factor ANOVA (with replication)
 

Randomized Block ANOVA

 

 

Two-sample t-tests on each pairwise comparison of “Truck” means
 

One-Factor ANOVA

 

#10
The reason for requiring each type of truck to be driven by each driver

 

is of no consequence in the final analysis
 

is to control for differences among the 5 trucks

 

 

is to allow for measuring the “interaction” between the 5 trucks and the 5 drivers
 

is to control for differences among the 5 drivers

 

#11
To provide the data necessary for this type of analysis, ____________ control must be used when assigning the drivers to the trucks as compared to “completely” randomly assigning the drivers to the trucks.

 

More
 

Less

 

#12
If each driver operated the same truck for their five trials, you

 

would be able to separate the differences due to the 5 trucks and the 5 drivers
 

would have “confounded” the effects between the type of truck and the drivers, and you would not be able to separate the differences due to the 5 trucks and the 5 drivers

 

 

would be able to test for differences due to the 5 different drivers
 

would be able to test for differences due to the 5 different trucks

 

#13
In this analysis, the “blocking” factor would be:

 

The "truck" factor
 

There wouldn't be a "blocking" factor

 

 

The "driver" factor

 

#14
The appropriate null hypothesis, , for the study would be:

 

μI=μII=μIII=μIV=μV
 

At least one pair of the µ’s (for the trucks) is different

 

 

All the pairs of the µ’s (for the trucks) are different
 

μA=μB=μC=μD=μE

 

#15
How many different truck “pairwise” comparisons are there?

 

15
 

5

 

 

10
 

6

 

#16
Using a level of significance = 0.05, should any of the truck pairwise comparisons be considered significantly different? 

 

No
 

Yes

#17
Should the mean direct cost per mile for Truck III be considered significantly different from Truck V?

 

No
 

Yes

 

#18
Do any of the trucks appear to be the best?

 

Yes – Truck III
 

Yes – Truck II

 

 

Yes – Truck IV
 

Yes – Truck I

 

 

No – no one truck appears to be the best

 

 

Answers

AccountingQueen
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Status NEW Posted 18 Aug 2017 04:08 PM My Price 10.00

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