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3. A milling machining operation puts out a finished subassembly whose length has a mean: μ = 2.52 ft, and standard deviation = 0.8 ft. Assume that the process mean, and variance are known. (Use the Constants: Control Chart Constant DM-4 & Constant #1 in our class portal) a) compute the 3-sigma control limits and the central line for the x-bar and S charts based on a subgroup size of 25. b) what is the probability of not detecting a shift in o to 0.88 ft on the x-bar chart on the first subgroup sampled after the shift (assume the mean stays the same)? c) what is the average number of samples (i.e., the expected number) required to detect the shift in b) above? Give your answers to the nearest whole number.

3. A milling machining operation puts out a finished subassembly whose length has a mean: μ = 2.52 ft, and standard deviation = 0.8 ft. Assume that the process mean, and variance are known. (Use the Constants: Control Chart Constant DM-4 & Constant #1 in our class portal) a) compute the 3-sigma control limits and the central line for the x-bar and S charts based on a subgroup size of 25. b) what is the probability of not detecting a shift in o to 0.88 ft on the x-bar chart on the first subgroup sampled after the shift (assume the mean stays the same)? c) what is the average number of samples (i.e., the expected number) required to detect the shift in b) above? Give your answers to the nearest whole number.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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3. A milling machining operation puts out a finished subassembly whose length has a mean: u = 2.52 ft, and standard deviation o = 0.8 ft. Assume that the process mean, and variance are known. (Use the Constants: Control Chart Constant DM-4 & Constant #1 in our class portal) a) compute the 3-sigma control limits and the central line for the x-bar and S charts based on a subgroup size of 25. b) what is the probability of not detecting a shift in o to 0.88 ft on the x-bar chart on the first subgroup sampled after the shift (assume the mean stays the same)? what is the average number of samples (i.e., the expected number) required to detect the shift in b) above? Give your answers to the nearest whole number.
Transcribed Image Text:3. A milling machining operation puts out a finished subassembly whose length has a mean: u = 2.52 ft, and standard deviation o = 0.8 ft. Assume that the process mean, and variance are known. (Use the Constants: Control Chart Constant DM-4 & Constant #1 in our class portal) a) compute the 3-sigma control limits and the central line for the x-bar and S charts based on a subgroup size of 25. b) what is the probability of not detecting a shift in o to 0.88 ft on the x-bar chart on the first subgroup sampled after the shift (assume the mean stays the same)? what is the average number of samples (i.e., the expected number) required to detect the shift in b) above? Give your answers to the nearest whole number.
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