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Samples of Employees of Companies a and B Provided the Following

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Samples of employees of Companies A and B provided the following information regarding the ages of employees.
 Company A  Company B Sample Size 3236 Average Age 4247 variance 1636\begin{array}{lll}&\text { Company A }&\text { Company B}\\\text { Sample Size } & 32 & 36 \\\text { Average Age } & 42 & 47\\\text { variance }&16&36\end{array} Develop a 97% confidence interval for the difference between the average ages of the employees of the two companies.

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