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10.18 If we plot the probabilities of failing to reject Ho corresponding to various alternatives for u (include ing the value specified by Ho) and
10.18 If we plot the probabilities of failing to reject Ho corresponding to various alternatives for u (include ing the value specified by Ho) and connect all the points by a smooth curve, we obtain the operating characteristic curve of the test criterion, or simply the OC curve. Note that the probability of failing to reject Ho when it is true is simply 1 - Q. Operating characteristic curves are widely used in industrial ap- plications to provide a visual display of the merits of the test criterion. With reference to Exercise 10.15, find the probabilities of failing to reject Ho for the fol- lowing 9 values of u and plot the OC curve: 184, 188, 192, 196, 200, 204, 208, 212, and 216
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