A process output has a mean of 7.20 kg and a standard deviation of .15 kg. The lower design specification is 7.00 kg and the upper design specification is 9.00 kg. What are the two Cpk values?Multiple Choice12.00 and 1.330.13 and -0.1313.33 and 4.444.00 and 0.44
Question
A process output has a mean of 7.20 kg and a standard deviation of .15 kg. The lower design specification is 7.00 kg and the upper design specification is 9.00 kg. What are the two Cpk values?Multiple Choice12.00 and 1.330.13 and -0.1313.33 and 4.444.00 and 0.44
Solution
The Cpk value is a statistical tool that tells us how well a system is meeting specifications or requirements. It is calculated using the formula:
Cpk = min[(USL - μ) / 3σ, (μ - LSL) / 3σ]
where: USL = Upper Specification Limit LSL = Lower Specification Limit μ = process mean σ = process standard deviation
Given in the problem: USL = 9.00 kg LSL = 7.00 kg μ = 7.20 kg σ = 0.15 kg
We can substitute these values into the formula to find the two Cpk values.
Cpk_upper = (USL - μ) / 3σ = (9.00 kg - 7.20 kg) / (3 * 0.15 kg) = 4.00
Cpk_lower = (μ - LSL) / 3σ = (7.20 kg - 7.00 kg) / (3 * 0.15 kg) = 0.44
So, the two Cpk values are 4.00 and 0.44.
Similar Questions
The Cpk measure uses which of the following as inputs?Check All That ApplyUpper specification limitUpper specification limitLower specification limitLower specification limitThree sigmaThree sigmaThe average
Select the best answer.For this process, which one of the following is true? Cp is smaller than Cpk Cp is greater than Cpk Cp is equal to Cpk
The mean length of a certain part from a manufacturing process is 12 mm and the standard deviation is 0.03 mm. The lower specification limit is 11.99 mm and the upper specification limit is 12.03 mm.REQUIRED:Determine the value of the Process Capability Ratio.
The design specification width is 1.25mm and the process width at 6 standard deviations is .85mm. What is the process capability index ratio?Multiple Choice1.47.40.681.65
The Cp of a process is calculated at 2.00. What does this tell us about the process?Multiple ChoiceThe process is not capable.The process width is half of the specification width.The specification must be modified by a factor of 2.00.The specification is too wide and should be changed.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.