TABLE 12-17 Three new different models of compact SUVs have just arrived at the market.You are interested in comparing the gas mileage performance of all three models to see if they are the same.A partial computer output for twelve compact SUVs of each model is given below: You are told that the gas mileage population distributions for all three models are not normally distributed. -Referring to Table 12-17,what should be the null and alternative hypotheses of the test? A)H₀ : M₁ = M₂ = M₃vs.H₁ : M₁ ≠ M₂ ≠ M₃ B)H₀ : M₁ = M₂ = M₃vs.H₁ : M₁ ≠ M₂ = M₃ C)H₀ : M₁ = M₂ = M₃vs.H₁ : M₁ = M₂ ≠ M₃ D)H₀ : M₁ = M₂ = M₃vs.H₁ : Not all M_jare equal (where j = 1,2,3)

Question

Quizplus · Accepted Answer

The null hypothesis should state that all population means are equal, and the alternative hypothesis should state that at least one population mean is different. Option D is the only one that presents the null hypothesis as H₀ : M₁ = M₂ = M₃ and the alternative hypothesis as H₁ : Not all M_jare equal (where j = 1,2,3), which represents these conditions.

TABLE 12-17 Three New Different Models of Compact SUVs Have Just Arrived