13-18 Suppose that four Brands of tires -Brand A, B, C, and D are to be tested t
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13-18 Suppose that four Brands of tires -Brand A, B, C, and D are to be tested to determine the brand that wears out the most on cars that have traveled over 30,000 miles. Suppose further that 4 tires of each Brand are to be tested on four difterent car models - Car 1, 2, 3, and 4. An experimental study was used to achieve the objectives of the study. The researcher decided to randomly assign the tires to the different car models. To plan the experiment, answer the following: 13. Which of the following should be the treatments? The four tire Brands A, B, C, D (b)The four car models Car 1, Car 2, Car 2, Car 4 The amount of tire wear. (d) None of these. 14. Which of the following is the factor(s) and the response variable of the experiment? a) )The factor is the car model, and the response variable the measure of the amount o wear. (b) The factor is the tire brand and the response variable is the car model. (c) The factor is the tire brand and the response variable is the measure of the amour of wear (d) The factor is the car model and the response variable is the tire brand." 15. The outcome from one experimental design used by the researcher is given below Study the table and state the type of experimental design used. Car 2 Car 3 Car 4 Brand B Brmad B Bnad B Brand C' Brand A Brand A Brand C Brand C Braad A Brand B Brand C Braad A Brand D Brand D Brand D Brand D (a) It is a randomized block design b) it is a matched pairs design (C) It is a completely randomized design d) It is a Latin square design. 16. The outcome from another experimental design used by the researcher is below. Study the table and state the type of experimental design used. Car 2Car3Car 4 Brand A llrand A Brand A Braad A Brund B Brand BBrand BBrand Brand CHrand C Brand C Brad C Braad D Brand DBraed D Brand D (a) Jt is a randomized block design it is a matched pairs design (c) It is a completely randomized design (d) It is a Latin square design.Explanation / Answer
13. Since, the car tyres will be tested by cars so the cars are called treatments.
14. As there are four types(models) of one thing(cars) hence it car models is a factor which has four levels car1 , car2, car3, and car 4. The response is the amount of wears because this amount is the result of wearing out after travelling 30,000 miles.
15. This is completely randomised design because cars are treatment, brands are participants which are assigned to cars.
16. This is a randomised block design because each treatment(car) and all brands are randomly assigned to first car then second then third and then fourth. So each treatment get all the four participants.
17. The replication is one because each treatment has only one repetetion for each participant.
18. The replication is four because fourth treatment has four repetetions for one participant.
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