satisfactory outcome for the customer when the center is in control? Round your answers to three decimal places. 0.041 b. Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls. Round your answers to four decimal places. UCL 0.1004 LCL 0 d. Compute the upper and lower limits for the np chart. Round your answers to three decimal places. UCL 10.049 LCL 0
7. Consider an acceptance sampling plan with n = 20 and c = 0. Compute the producer's risk for each of the following cases. a. The lot has a defect rate of 2% (to 4 decimals). P(accept lot): 0.6676 Producer's risk: 0.3324 b. The lot has a defect rate of 6% (to 4 decimals). P(accept lot): 0.2901 Producer's risk: 0.7099 8.
Product filling weights are normally distributed with a mean of 350 grams and a standard deviation of 15 grams. a. Develop the control limits for the chart for samples of size 10, 20, and 30 (to 2 decimals). For n = 10 UCL = 364.23 LCL = 335.77 For n = 20, UCL = 360.06 LCL = 339.94 For n = 30, UCL = 358.22 LCL = 341.78 b. What happens to the control limits as the sample size is increased? Both control limits move closer to 7 the process mean as the sample size is increased. c. What happens when a Type I error is made? True The process will be declared out of control and adjusted when the process is in control. d. What happens when a Type II error is made? False The process will be declared out of control and adjusted when the process is in control. e. What is the probability of a Type I error for samples of size 10, 20, and 30 (to 4 decimals)? P(type I) = 0.0027
f. What is the advantage of increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased?