Question: In order to estimate the difference between the yearly incomes of marketing

managers in the East and West of the United States, the following information was gathered.

East West

n 1 40 n 2 45

×̄1 72 (in $1,000) ×̄2 78 (in $1,000)

s 1 6 (in $1,000) s 2 8 (in $1,000)

1. Develop an interval estimate for the difference between the average yearly incomes
   of the marketing managers in the East and West. Use = 0.05.
2. At 95% confidence, use the p -value approach and test to determine if the average

yearly income of marketing managers in the East is significantly different from the West.

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