An automobile manufacturer would like to examine the effect of speed and type of
ID: 3043708 • Letter: A
Question
An automobile manufacturer would like to examine the effect of speed and type of tire on the stopping distance of its vehicles in winter driving conditions. Vehicles will be outfitted with either regular tires or snow tires, and will drive at a speed of either 40, 60 or 80 km/h. The stopping distances will then be compared. The manufacturer believes that the effect of speed and type of tire may differ for its two different models of car (Model A and Model B), so a randomized block design is conducted. Each combination of factor levels will be randomly assigned to four vehicles within each block.
What is the total number of vehicles required for the experiment?
Explanation / Answer
Answer:
An automobile manufacturer would like to examine the effect of speed and type of tire on the stopping distance of its vehicles in winter driving conditions. Vehicles will be outfitted with either regular tires or snow tires, and will drive at a speed of either 40, 60 or 80 km/h. The stopping distances will then be compared. The manufacturer believes that the effect of speed and type of tire may differ for its two different models of car (Model A and Model B), so a randomized block design is conducted. Each combination of factor levels will be randomly assigned to four vehicles within each block.
What is the total number of vehicles required for the experiment?
Number of models ( A, B) =2
Number of types of tires( regular , snow) =2
Number of speed( 40,60,80) =3
Total number of blocks = 2*2*3 =12
four vehicles are within each block
total number of vehicles required for the experiment = 12*4 =48
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