Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Los

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Is the difference between the mean annual salaries of entry level architects in Denver, Colorado, and Los Angeles, California, equal to $10,000? To decide, you select a random sample of entry level architects from each city. The results of each survey are shown in the figure. Assume the population standard deviations are σ1 = $6520 and σ2 = $7130. At α = 0.01, what should you conclude?

Entry level architects in Denver, CO X = $50,410 n = 32 Entry level architects in Los Angeles, CA Denver I = $54,640 n2


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

(Σ-) - (μι μ2) where Ох-т, n2 ||

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