A survey was done with the hope of comparing salaries of chemical plant managers employed in two

Question:

A survey was done with the hope of comparing salaries of chemical plant managers employed in two areas of the country, the northern and west central regions. Independent random samples of 300 plant managers were selected for each of the two regions. These managers were asked for their annual salaries. The results are

(a) Construct a 99% confidence interval in μ₁ – μ₂, the difference in the mean salaries.

(b) What assumption did you make in (a) about the distribution of annual salaries for the two regions? Is the assumption of normality necessary? Why or why not?

(c) What assumption did you make about the two variances? Is the assumption of equality of variances reasonable? Explain!

West Central North J1 = $102. 300 Ï2 = $98, 500 s1 = $5, 700 $3,800 82

Distribution
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