Question
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
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 |
(1) What would the appropriate type of analysis be for this data?
(2) The reason for requiring each type of truck to be driven by each driver
(3) 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. Less or more?
(4) If each driver operated the same truck for their five trials, you
(5) In this analysis, the blocking factor would be:
(6) The appropriate null hypothesis, , for the study would be:
(7) How many different truck pairwise comparisons are there?
(8) Using a level of significance = 0.05, should any of the truck pairwise comparisons be considered significantly different? yes or no?
(9) Should the mean direct cost per mile for Truck III be considered significantly different from Truck V? yes or no?
(10) Do any of the trucks appear to be the best?
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