Suppose that a product is composed of 50 identical and probabilistically independent parts. Assume that this product is manufactured through the use of a k-sigma process with a process mean that is 1.25 standard deviations above the target mean. Assuming that k = 3, what proportion of these multipart products are not within specification limits? Assume that a product is within specification limits only if all of its component parts are within specs. Round your answer to four decimal places, if necessary. 3-sigma, out of specs proportion: Answer this question again for the case where k = 6. Round your answer to four decimal places, if necessary. 6-sigma, out of specs proportion: Explain the difference between these two probabilities. The difference is that a 6-sigma process is much better variation. than a 3-sigma process, because it has much less

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Suppose that a product is composed of 50 identical and probabilistically independent parts. Assume that this product is
manufactured through the use of a k-sigma process with a process mean that is 1.25 standard deviations above the target mean.
Assuming that k = 3, what proportion of these multipart products are not within specification limits? Assume that a product is
within specification limits only if all of its component parts are within specs. Round your answer to four decimal places, if
necessary.
3-sigma, out of specs proportion:
Answer this question again for the case where k = 6. Round your answer to four decimal places, if necessary.
6-sigma, out of specs proportion:
Explain the difference between these two probabilities.
The difference is that a 6-sigma process is much better
variation.
than a 3-sigma process, because it has much less
Transcribed Image Text:Suppose that a product is composed of 50 identical and probabilistically independent parts. Assume that this product is manufactured through the use of a k-sigma process with a process mean that is 1.25 standard deviations above the target mean. Assuming that k = 3, what proportion of these multipart products are not within specification limits? Assume that a product is within specification limits only if all of its component parts are within specs. Round your answer to four decimal places, if necessary. 3-sigma, out of specs proportion: Answer this question again for the case where k = 6. Round your answer to four decimal places, if necessary. 6-sigma, out of specs proportion: Explain the difference between these two probabilities. The difference is that a 6-sigma process is much better variation. than a 3-sigma process, because it has much less
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