The Difference in the Average Profit Margins of Two Industries

Short Answer

The difference in the average profit margins of two industries is to be estimated for a client of a financial advisory service.Random samples from Industry A profit margins and Industry B profit margins are summarized as follows: $$\begin{array} { | c | c | } \hline \text { Industry } \boldsymbol { A } & \text { Industry } \boldsymbol { B } \\\hline n _ { 1 } = 32 & n _ { 2 } = 33 \\\bar { x } _ { 1 } = 7.63 & \bar { x } _ { 1 } = 6.13 \\s _ { 1 } ^ { 2 } = 4.90 & s _ { 2 } ^ { 2 } = 17.68 \\\hline\end{array}$$ Develop a 96-percent confidence interval for the true difference in the profit margin means for Industry A and Industry B.
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