Show transcribed image text 2. (15 pts) The calibration of standard conical flasks used for mixing and storing reagents is regulated so that the total volume is approximately normally distributed with a mean of 200 milliliters and a standard deviation of 15 mililiters. The flasks are inspected periodically by taking a sample of 9 of them and computing the average content against the calibration. If the average falls in the interval (191, 209), the calibration is set expected to be satisfactory. (a) (5 pts) Find the probability of committing a type I error when Î¼ = 200 mL (b) (5 pts) Find the probability of committing a type " error when Î¼-215 mL (c) (5 pts) If we plot the probabilities of failing to reject Ho corresponding to various alternatives for Î¼ (including value specified by Ho) and connect all the points by a smooth cu of the test criterion, or simply 1 – a. merits the f the rve, we obtain the operating characteristic curve the OC curve. Note that the probability of failing to reject Ho when it is true is simply racteristic curves are widely used in industrial applications to provide a visual display of the of the test criterion. Using MATLAB, develop a simple code to find the probabilities of failing to reject Ho for Operating cha ollowing 9 values of Î¼ and plot the OC curve: 184, 188, 192, 196, 200, 204, 208, 212, and 216.

2. (15 pts) The calibration of standard conical flasks used for mixing and storing reagents is regulated so that the total volume is approximately normally distributed with a mean of 200 milliliters and a standard deviation of 15 mililiters. The flasks are inspected periodically by taking a sample of 9 of them and computing the average content against the calibration. If the average falls in the interval (191, 209), the calibration is set expected to be satisfactory. (a) (5 pts) Find the probability of committing a type I error when Î¼ = 200 mL (b) (5 pts) Find the probability of committing a type " error when Î¼-215 mL (c) (5 pts) If we plot the probabilities of failing to reject Ho corresponding to various alternatives for Î¼ (including value specified by Ho) and connect all the points by a smooth cu of the test criterion, or simply 1 – a. merits the f the rve, we obtain the operating characteristic curve the OC curve. Note that the probability of failing to reject Ho when it is true is simply racteristic curves are widely used in industrial applications to provide a visual display of the of the test criterion. Using MATLAB, develop a simple code to find the probabilities of failing to reject Ho for Operating cha ollowing 9 values of Î¼ and plot the OC curve: 184, 188, 192, 196, 200, 204, 208, 212, and 216.