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The Accompanying 25 Observations on Fracture Toughness of Base Plate

question 19

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The accompanying 25 observations on fracture toughness of base plate of 18% nickel maraging steel were obtained. Suppose a company will agree to purchase this steel for a particular application only if it can be strongly demonstrated from experimental evidence that "true" average toughness exceeds 80. Assuming that the fracture toughness distribution is symmetric, state and test the appropriate hypotheses level .05 and compute a P-value. 74.576.977.678.178.378.579.179.280.380.580.780.881.181.281.281.982.082.983.184.684.785.187.288.798.7\begin{array} { r r r r r r r r r } \hline 74.5 & 76.9 & 77.6 & 78.1 & 78.3 & 78.5 & 79.1 & 79.2 & 80.3 \\\hline 80.5 & 80.7 & 80.8 & 81.1 & 81.2 & 81.2 & 81.9 & 82.0 & 82.9 \\\hline 83.1 & 84.6 & 84.7 & 85.1 & 87.2 & 88.7 & 98.7 & & \\\hline\end{array}

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