Chuck wants to know which brand of tire, A or B, lasts longer on cars. He chooses 32 cars and puts brand A on one side of the car and brand B on the other side. The side that receives brand A is determined by a coin toss. After three months, Chuck measures the amount of tread on all tires to determine if, on average, there is a difference (brand A – brand B) in tread wear. Are the conditions for inference met?
A
No. The random condition is not met.B
No. The 10% condition is not met.C
No. The Normal/Large Sample condition is not met because the sample is too small.The coin toss randomly assigns brand A to one side of each car, so the random condition is met. The 32 cars are reasonably treated as less than 10% of the population of cars, and 32 paired tread-wear differences is large enough for the usual large-sample condition. Therefore, all conditions for inference are met.
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