The voltage of an electron gun is a critical characteristic associated with the quality of a...

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The voltage of an electron gun is a critical characteristic associated with the quality of a TV picture. If the voltage is too high, the image will be too bright, whereas if voltage is too low, the image will be too dark. The specifications on voltage are 55 10 V. Based on past empirical study, it was determined that the voltage measurements are compatible with the normal distribution. Random samples of 7 electron guns are chosen on a periodic basis. For each subgroup, the sample mean x and the sample standard deviations are found. After 30 subgroups, the following summary information is obtained: 01497.60 and 30 s = 68.751 a) Estimate Cps Cpks and Cpm. Comment on their values with respect to process capability. (3 marks) b) Estimate/calculate the rate of nonconformance (i.e. fraction of nonconforming units) to specifications. (2 marks) c) How much will the rate of nonconformance be reduced if the process mean is adjusted to be on target (i.e. the midpoint of the specification limits). (2 marks) The voltage of an electron gun is a critical characteristic associated with the quality of a TV picture. If the voltage is too high, the image will be too bright, whereas if voltage is too low, the image will be too dark. The specifications on voltage are 55 10 V. Based on past empirical study, it was determined that the voltage measurements are compatible with the normal distribution. Random samples of 7 electron guns are chosen on a periodic basis. For each subgroup, the sample mean x and the sample standard deviations are found. After 30 subgroups, the following summary information is obtained: 01497.60 and 30 s = 68.751 a) Estimate Cps Cpks and Cpm. Comment on their values with respect to process capability. (3 marks) b) Estimate/calculate the rate of nonconformance (i.e. fraction of nonconforming units) to specifications. (2 marks) c) How much will the rate of nonconformance be reduced if the process mean is adjusted to be on target (i.e. the midpoint of the specification limits). (2 marks)