According to required specifications, the maximum value for a certain quality characteristic is 7000 gr. Past experience indicates that the quality characteristic is normally distributed with a standard deviation of 700 gr. The probabilistic mass distributions for Acceptable Quality Level and Lot Tolerance Percent Defective are piven below. Design a variable sampling plan to provide the following protection. (30pts) -0.30 p=0,01 Acceptable Quality Level (p) -0.35 p=0.02 -0.35 p=0,03 Lot Tolerance Percent Defective (1) -0.25 -0.30 -0.45 p0.10 p0.15 p0.20 Producer's Risk () -5% Consumer's Risk (3) -10% According to required specifications, the maximum value for a certain quality characteristic is 7000 gr. Past experience indicates that the quality characteristic is normally distributed with a standard deviation of 700 gr. The probabilistic mass distributions for Acceptable Quality Level and Lot Tolerance Percent Defective are piven below. Design a variable sampling plan to provide the following protection. (30pts) -0.30 p=0,01 Acceptable Quality Level (p) -0.35 p=0.02 -0.35 p=0,03 Lot Tolerance Percent Defective (1) -0.25 -0.30 -0.45 p0.10 p0.15 p0.20 Producer's Risk () -5% Consumer's Risk (3) -10%