Construct a 95% confidence interval for the difference between the mean annual salaries of microbiologists in Maryland and California using the data from Exercise 27.

Construct the indicated confidence interval for μ₁ - μ₂.

Exercise 27

Is the difference between the mean annual salaries of microbiologists in Maryland and California more than $10,000? To decide, you select a random sample of microbiologists from each state. The results of each survey are shown in the figure. Assume the population standard deviations are σ₁ = $8795 and σ₂ = $9250. At α = 0.05, what should you conclude?

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Microbiologists in Maryland T $102,650 n42 Microbiologists in California 2 $85,430 72 38