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The Following Information Regarding the Ages of Full-Time and Part-Time xˉ\bar { x }

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The following information regarding the ages of full-time and part-time students are given. Using the following data, develop an interval estimate for the difference between the mean ages of the two populations. Use a 5% level of significance. The degrees of freedom for the t distribution is 106.
xˉ\bar { x }  Full-Time  Part-Time 27.024s1.52n50060\begin{array}{cc}&\text { Full-Time }&\text { Part-Time }\\&27.0 & 24 \\s&1.5 & 2 \\n&500 & 60\end{array}

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