If we plot the probabilities of failing to reject Ho corresponding to various alternatives for µ (including the value specified by Ho) and connect all the points by a smooth curve, we obtain the...

If we plot the probabilities of failing to reject Ho corresponding to various alternatives for µ (including the value specified by Ho) and connect all the points by a smooth curve, we obtain the operating characteristics 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 – o. operating characteristic curves are widely used in industrial application to provide a visual display of the merits of the test criterion. With reference to Exercise 10.15, and the probabilities of failing to reject Ho for the following 9 values of µ and plot the OC curve: 184, 188, 192, 196, 200, 204, 208, 212, and 210.