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stich3 [128]
3 years ago
8

A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specifica

tion limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. (Round your answer to 4 decimal places.) What is the process capability index for the process
Mathematics
1 answer:
deff fn [24]3 years ago
8 0

Answer:

For this process, the capability index is 0.4444

Step-by-step explanation:

Given the data in the question;

Lower specification limit = 22.8 mm

Upper specification limit = 23.2 mm

The standard deviation σ = 0.15 mm

Mean μ = 23

capability index Cpk = ?

Now, Using the formula;

Cpk = min{ [(USL - μ)/3σ], [(μ - LSL)/3σ]

where USL is the Upper specification limit, LSL is the Lower specification limit, σ is the standard deviation, μ is the mean

so we substitute

Cpk = min{ [(23.2 - 23 )/(3×0.15)], [(23 - 22.8)/(3×0.15)] }

Cpk = min{ [0.2 / 0.45 ], [0.2 / 0.45] }

Cpk = min{ [ 0.4444 ], [0.4444] }

Therefore, for this process, the capability index is 0.4444

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