Question

At α=0.01α=0.01, test the claim that there is no significant difference between the average salaries of registered nurses and physician assistants in Ontario. Random samples of 36 registered nurses and 41 physician assistants have been selected across the province. The following table contains means for both samples. We also assume that the variability of these numbers didn't change since the last time the study was conducted and the population standard deviations are still available. Assume that the zz-distribution can be used for hypothesis testing.

Employees	Sample Mean ¯xx¯	Population Std. Dev. σσ	Sample Size
In-House	69,543	5,386	36
Consultants	73,008	8,543	41

Hint: Use the test statistic formula: z=(¯x1−¯x2)−(μ1−μ2)√σ21n1+σ22n2z=(x¯1-x¯2)-(μ1-μ2)σ12n1+σ22n2

(a) State the null and alternative hypotheses, and identify which one is the claim.

H0H0: Select an answer p₂ - p₂ μ₁ - x̄₂ μ₁ - μ₂ x̄₁ - μ₂ x̄₁ - x̄₂  ? = ≥ ≤ < > ≠  

H1H1: Select an answer x̄₁ - μ₂ μ₁ - μ₂ p₂ - p₂ x̄₁ - x̄₂ μ₁ - x̄₂  ? < > ≠ = ≤ ≥  

Which one is the claim:

• H0H0
• H1

Answer 1

H0 :  μ₁ - μ₂ = 0

H1 :  μ₁ - μ₂ ≠ 0

Which one is the claim:

Ans : H0