Is the difference between the mean annual salaries of entry level software engineers in Raleigh, North Carolina, and Wichita, Kansas, more than $2000? To decide, you select a random sample of entry level software engineers from each city. The results of each survey are shown in the figure at the left. Assume the population standard deviations are σ₁ = $10,850 and σ₂ = $10,970. At α = 0.05, what should you conclude?

You will test the difference between two means using a null hypothesis of H₀: μ₁ - μ₂ = k, H₀: μ₁ - μ₂ ≥ k, or H₀: μ₁ - μ₂ ≤ k. The standardized test statistic is still

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Entry level software engineers in Raleigh, NC Raleigh X1 = $64,270 nį = 42 Entry level software engineers in Wichita, KS I, = $62,610 n2 = 38 Wichita (Σ-) - (μι μ2) where Ох-т, n2 ||