8
QuizMultiple Choice

Testing a Claim about a Mean Difference

Question 8 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

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?

Answer
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.
D
All conditions are met.
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