The process capability index (Cp/Cpk) Is the mean divided by the square of the standard deviation (variance) Is the ratio of the range of values produced divided by the range of values allowed Is the ratio of the range of values allowed divided by the range of values produced Defines the mean and standard deviation of the process Should be = 0.5 for a capable process Should be < 1 for a capable process

The specification for a plastic liner for concrete highway projects calls for a thickness of 6.0 mm ± 0.1 mm. The standard deviation of the process is estimated to be 0.02 mm. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.03 mm. What is the Cp and Cpk for this process? About what percent of all units of this liner will meet specifications?

A process generating attribute data has an estimated sigma capability = 3.3. Assuming the process mean is shifted +/- 1.5 sigma from the target value, what is the estimated dpmo? Estimated dpmo = ____.

Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? = x= 156.76 mm (round your response to two decimal places). b) What is the value of R? R= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.3

Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean (u) of 12.00 and a standard deviation (o) of 0.06. Your desired performance is u = 12.00 ±3 standard deviations, where o = 0.070. For the given information, the process capability index (Cpk) = (round your response to three decimal places)

. For a process quality characteristic, the specification limits are 0.4037 +/- 0.0013 (that is from 0.4024 to 0.4050). The following data gives the data for 14 measurement data sets, each data set is a subgroup of 5 measurement. The value is recorded in the units of 0.0001 (that is, the specification limit will be considered 24 to 50) Based on the following data, compute Cp,Cpk,Pp and Ppk.(Use MINITAB is ok) and determine if the capability of the process. Subgroup# 1 2 3 4 5 Subgroup# 1 2 3 4 5 1 36 35 34 33 32 8 34 38 35 34 38 2 31 31 34 32 30 9 36 35 37 34 33 3 30 30 32 30 32 10 30 37 33 34 35 4 32 33 33 32 35 11 28 31 33 33 33 5 32 34 37 37 35 12 33 30 34 33 35 6 32 32 31 33 33 13 35 36 29 27 32 7 33 33 36 32 31 14 33 35 35 39 3

A machine is used to fill cans of motor oil additive. A single sample can is selected every hour and the net weight of the can is obtained. Since the filling process is automated, it has very stable variability, and long experience indicates that s = 0.02 oz. The process target (process mean when in control) is 8.02 oz. A tabular cusum is being used for this process with standardized values h=4.5 and k=0.5. If the values of Cumulative sums at the end of measurement 7 were C," + = 0.030 and C,¯ = 0.0 , and measurement 8 is equal to Xg = 8.071, what will be the Cumulative sum at the end of measurement 8, that is C3 + = ? 0.041 0.071 0.051 0.046 0.061

Based on the process capability ratio Cp for the given information, one can say that the process is For the given information Process capability index Cpk = ... Based on the process capability index Cpk for the given information one can say the proces

The approximation equation used to convert dpmo into sigma cap for attribute quality measures makes the following assumption   Group of answer choices A. The process mean is shifted ±1.5 sigma from its target value. B. The sigma cap can never be less than 1.0. C. The constant 0.8406 can be modified if the process improves. D. The process mean is centered at its target value.

Please do not give solution in image formate thanku.  The specification for a plastic liner for concrete highway projects calls for a thickness of 6.0 mm ± 0.1 mm. The standard deviation of the process is estimated to be 0.02 mm. The process is known to operate at a mean thickness of 6.03 mm. What is the Cp and Cpk for this process? Determine whether this process meet 3-sigma requirements, 6-sigma requirements, or doesn’t meet any requirements.