The Management of Chattanooga Paper Corporation Wants to Determine Whether

Essay

The management of Chattanooga Paper Corporation wants to determine whether there is a significant difference in the thickness of papers produced at their two existing plants. The following data has been accumulated for this test The degrees of freedom df) for this problem are df = 51.
$\begin{array}{|l|c|c|}\hline & \text { Plant 1 } & \text { Plant 2 } \\\hline \text { Sample Mean } & 23.6 & 23.1 \\\hline \text { Sample Variance } \mathbf{S}^{\mathbf{2}} \text { ) } & 25 & 4 \\\hline \text { Sample Size } & 42 & 53 \\\hline\end{array}$
a. Compute a 95% confidence interval for the difference in the average thickness of papers produced at the two plants. Please use the same order as given above.
b. Is there conclusive evidence that the average thickness in one plant is significantly more than the other? If yes, which plant? Explain, using the results of part a). Do not perform any tests.