a tire company wants to determine if tires made with a new type of tread will last longer than the tires…

a tire company wants to determine if tires made with a new type of tread will last longer than the tires made with the original type of tread. the company has access to 24 different vehicles. the vehicles will be driven for one year and the depth of the remaining tread will be measured. the average depth for the new type of tread will be compared to the average depth of the original type of tread. which of the following describes a randomized block design for this experiment? there are six vehicles of each vehicle type: sedan, suv, minivan, and truck. for each type, three vehicles will be randomly selected to receive tires with the new tread and the other three vehicles will receive tires with the original tread. each vehicle is numbered 1 - 24, and these numbers are put into a random number generator. the first 12 unique numbers represent the vehicles that will receive the tires with the new tread. the remaining 12 vehicles will receive the tires with the original tread. the vehicles will be put in groups of two based on the size of the vehicle, with the largest two put together, the next largest two, etc. for each of the 12 pairs, the largest vehicle will get tires with the original type of tread and the other vehicle in the pair

a tire company wants to determine if tires made with a new type of tread will last longer than the tires made with the original type of tread. the company has access to 24 different vehicles. the vehicles will be driven for one year and the depth of the remaining tread will be measured. the average depth for the new type of tread will be compared to the average depth of the original type of tread. which of the following describes a randomized block design for this experiment? there are six vehicles of each vehicle type: sedan, suv, minivan, and truck. for each type, three vehicles will be randomly selected to receive tires with the new tread and the other three vehicles will receive tires with the original tread. each vehicle is numbered 1 - 24, and these numbers are put into a random number generator. the first 12 unique numbers represent the vehicles that will receive the tires with the new tread. the remaining 12 vehicles will receive the tires with the original tread. the vehicles will be put in groups of two based on the size of the vehicle, with the largest two put together, the next largest two, etc. for each of the 12 pairs, the largest vehicle will get tires with the original type of tread and the other vehicle in the pair

Answer

Brief Explanations:

In a randomized - block design, subjects are grouped into blocks based on a characteristic that might affect the response variable. Here, vehicle type is a relevant characteristic. In the first option, vehicles are grouped by type (sedan, SUV, minivan, truck) and then treatment (new or original tread) is randomly assigned within each block. The second option is a simple random assignment without blocking. The third option has an improper and non - random blocking and assignment method.

Answer:

There are six vehicles of each vehicle type: sedan, SUV, minivan, and truck. For each type, three vehicles will be randomly selected to receive tires with the new tread and the other three vehicles will receive tires with the original tread.