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JvGaming2001
27.06.2020 •
Mathematics
The Elon Company manufactures parts for an aircraft company using three computerized numerical controlled (CNC) turning centers. The company has to decide which machines are capable of producing a specific part with design specifications of 0.0970 inch ± 0.015 inch. The machines have the following parameters: Machine 1 (mean= 0.0995, s = 0.004); Machine 2 (mean = 0.1002, s = 0.009); Machine 3 (mean = 0.095, s = 0.005). Determine which machines (if any) are capable of producing the products within the design specifications.
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Ответ:
machine 1 with the mean 0.0995, s = 0.004 will only be capable of producing the products within the design specifications.
Step-by-step explanation:
Given that:
The company has to decide which machines are capable of producing a specific part with design specifications of 0.0970 inch ± 0.015 inch.
The upper limit of the specific part = 0.0970 inch + 0.015 inch = 0.112 inch
The lower limit of the specific part = 0.0970 inch - 0.015 inch = 0.082 inch
Th question continues by stating the following parameters for the machines.
Machine 1 (mean= 0.0995, s = 0.004);
Machine 2 (mean = 0.1002, s = 0.009);
Machine 3 (mean = 0.095, s = 0.005).
The main objective here is to determine which machines (if any) are capable of producing the products within the design specifications.
Given that Cp is < 1
This process will be capable if Cpk is ≥ 1
To start with machine 1;
Cpk = Min[1.46, 1.04]
Cpk = 1.04
Thus this process is capable because Cpk ≥ 1
Machine 2;
Cpk = Min[0.67, 0.44]
Cpk = 0.44
Thus this process is not capable because Cpk < 1
Machine 3
Cpk = Min[0.87, 1.13]
Cpk = 0.87
Thus this process is not capable because Cpk < 1
In conclusion, machine 1 with the mean 0.0995, s = 0.004 will only be capable of producing the products within the design specifications.
Ответ:
o done lol