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(a) Calculate the percentage given criterion. (b) If the filling equipment the standard deviation r rejected). (c) If the filling equipment i standard deviation is rec

(a) Calculate the percentage given criterion. (b) If the filling equipment the standard deviation r rejected). (c) If the filling equipment i standard deviation is rec

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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6.49. All parts and use only positive z values
Problems 191 (b) How many lamps may be expected to fail between 7000 and 10,000 h? 6.49 On an assembly line that fills 8-ounce cans, a can will be rejected if its weight is less than 7.90 ounces. In a large sample, the mean and the standard deviation of the weight of a can' is measured to be 8.05 and 0.05 oz, respectively. (a) Calculate the percentage of the cans that is expected to be rejected on the basis of the given criterion. (b) If the filling equipment is adjusted so that the average weight becomes 8.10 oz, but the standard deviation remains 0.05 oz, calculate the rejection rate (% of cans being rejected). (c) If the filling equipment is adjusted so that the average weight remains 8.05 oz, but the standard deviation is reduced to 0.03 oz, calculate the rejection rate. 6.50 In the production of a certain type of plastic part, the diameter of the part is expected to be 5.00 mm with a standard deviation of 0.05 mm. If the part diameter deviates by more than two standard deviations, it will be rejected. (a) Calculate the probability of rejection of a part. (b) In a sample of 20 parts, what are the probabilities that 2, 4, and 10 will be rejected? 6.51 In manufacturing steel shelves, the column pieces are cut automatically with a standard deviation of 0.2 in. The average length is 7.25 ft. A variation in length of 0.3 in. can be tol- erated. Calculate the percentage of the rejected columns. To reduce the rejection rate by deviation. The tolerance will remain the same.
Transcribed Image Text:Problems 191 (b) How many lamps may be expected to fail between 7000 and 10,000 h? 6.49 On an assembly line that fills 8-ounce cans, a can will be rejected if its weight is less than 7.90 ounces. In a large sample, the mean and the standard deviation of the weight of a can' is measured to be 8.05 and 0.05 oz, respectively. (a) Calculate the percentage of the cans that is expected to be rejected on the basis of the given criterion. (b) If the filling equipment is adjusted so that the average weight becomes 8.10 oz, but the standard deviation remains 0.05 oz, calculate the rejection rate (% of cans being rejected). (c) If the filling equipment is adjusted so that the average weight remains 8.05 oz, but the standard deviation is reduced to 0.03 oz, calculate the rejection rate. 6.50 In the production of a certain type of plastic part, the diameter of the part is expected to be 5.00 mm with a standard deviation of 0.05 mm. If the part diameter deviates by more than two standard deviations, it will be rejected. (a) Calculate the probability of rejection of a part. (b) In a sample of 20 parts, what are the probabilities that 2, 4, and 10 will be rejected? 6.51 In manufacturing steel shelves, the column pieces are cut automatically with a standard deviation of 0.2 in. The average length is 7.25 ft. A variation in length of 0.3 in. can be tol- erated. Calculate the percentage of the rejected columns. To reduce the rejection rate by deviation. The tolerance will remain the same.
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