AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Testing a Claim about a Mean DifferenceQuestion 5
5
QuizMultiple Choice
Testing a Claim about a Mean Difference
Question 5 • 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. What are the hypotheses Chuck should use?
Answer
A
H Subscript 0 Baseline: x Overbar Subscript A Baseline = x Overbar Subscript B Baseline; H Subscript alpha Baseline: x Overbar Subscript A Baseline not-equals x Overbar Subscript B
B
H Subscript 0 Baseline: mu Subscript A Baseline = mu Subscript B Baseline; H Subscript alpha Baseline: mu Subscript A Baseline not-equals mu Subscript B
C
H Subscript 0 Baseline: x Overbar Subscript difference Baseline = 0, H Subscript alpha Baseline: x Overbar Subscript difference Baseline not-equals 0
D
H Subscript 0 Baseline: mu Subscript difference Baseline = 0; H Subscript alpha Baseline: mu Subscript difference Baseline not-equals 0