A car dealer claims that on average, the age of cars owned by professors is less than the age of cars owned by students. Random samples of 40 faculty cars and 36 student cars are taken and their ages are measured. The data was shown in the following table. ages for faculty cars ages for student cars m₁ = 40 n₂ = 36 F₁ = 5.9 F₂ = 7.1 $1 = 1.6 82 = 1.8 Choose the correct hypothesis to test the claim. Ho: ₁ ≥ ₂ vs H₂:1 < ₂ Ho : με ≥ με vs Ha: με < με O H₂:1₂ VS H₁: ₁ > ₂ Ho: 1 = μ₂ vs H₁: Mr ‡µ₂ Ho: M1 M₂ Vs Ha: 1 > ₂ Find the P-value of this test and state your conclusion at a = .05. P-value: 0.0011; Decision: Reject Ho P-value: 0.05; Decision: Fail to reject Ho O P-value: 0.9989; Decision: Fail to reject Ho O P-value: 0.0011; Decision: Fail to reject Ho P-value: 0.9989; Decision: Reject Ho Use calculator program to find the 95% confidence interval of μ1-442

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