BUS 375: Assignment 3 questions with
verified answers to pass
Which of the following is true about the relationship between the process capability ratio (Cp)
and the process capability index
(Cpk)? - correct answer ✔✔Cpk will always be less than or equal to Cp
If the process mean is closer to the LSL than the USL, and the process has a process capability
index less than 1, then which of the following would potentially help the process become
capable? - correct answer ✔✔Increase the mean
Which of the following measures the proportion of variation (3σ) between the center of the
process and the nearest specification limit? - correct answer ✔✔Process capability index
Process capability - correct answer ✔✔means that the natural variation of the process must be
small enough to produce products that meet the standard.
Product specifications call for a part at Vaidy Jayaraman's Metalworks to have a length of
1.100"±.060". Currently, the process is performing at a grand average of 1.100" with a standard
deviation of 0.018". Calculate the capability index of this process. - correct answer ✔✔Cpk =
1.11
USL = 1.16
LSL = 1.04
Mean = 1.1
SD = 0.018
, [(1.16-1.1)/3*0.018 , (1.1-1.04)/3*0.018)]
[1.11 , 1.11]
Is this process capable? Yes.
A new process has just been established on Jianli Hu's assembly line. The process is supposed to
place 4 grams of a deep red coloring in each bottle of nail polish with an upper specification
limit of 4.1 grams and a lower specification limit of 3.9 grams. Although the mean is 4 grams,
the standard deviation is 0.1 gram. What is the
Cpk of the new process? - correct answer ✔✔Cpk = 0.33
Process Capability Index CpK = Min(CpU,CpL)
CpU = (Upper Specification Limit - Mean)/3*Standard Deviation
= (4.1 - 4)/3*0.1
= 0.33
CpL = (Mean - Lower Specification Limit)/3*Standard Deviation
= (4 - 3.9)/3*0.1
= 0.33
CpK = Min(0.33,0.33)
= 0.33
NutraFlakes cereal is to be packaged with a mean of 10 ounces plus or minus 0.1 ounces. Using
the data in the table given below, determine the standard deviation of the 20 weights and then
determine the
Cpk of the process. - correct answer ✔✔Standard Deviation = 0.11
verified answers to pass
Which of the following is true about the relationship between the process capability ratio (Cp)
and the process capability index
(Cpk)? - correct answer ✔✔Cpk will always be less than or equal to Cp
If the process mean is closer to the LSL than the USL, and the process has a process capability
index less than 1, then which of the following would potentially help the process become
capable? - correct answer ✔✔Increase the mean
Which of the following measures the proportion of variation (3σ) between the center of the
process and the nearest specification limit? - correct answer ✔✔Process capability index
Process capability - correct answer ✔✔means that the natural variation of the process must be
small enough to produce products that meet the standard.
Product specifications call for a part at Vaidy Jayaraman's Metalworks to have a length of
1.100"±.060". Currently, the process is performing at a grand average of 1.100" with a standard
deviation of 0.018". Calculate the capability index of this process. - correct answer ✔✔Cpk =
1.11
USL = 1.16
LSL = 1.04
Mean = 1.1
SD = 0.018
, [(1.16-1.1)/3*0.018 , (1.1-1.04)/3*0.018)]
[1.11 , 1.11]
Is this process capable? Yes.
A new process has just been established on Jianli Hu's assembly line. The process is supposed to
place 4 grams of a deep red coloring in each bottle of nail polish with an upper specification
limit of 4.1 grams and a lower specification limit of 3.9 grams. Although the mean is 4 grams,
the standard deviation is 0.1 gram. What is the
Cpk of the new process? - correct answer ✔✔Cpk = 0.33
Process Capability Index CpK = Min(CpU,CpL)
CpU = (Upper Specification Limit - Mean)/3*Standard Deviation
= (4.1 - 4)/3*0.1
= 0.33
CpL = (Mean - Lower Specification Limit)/3*Standard Deviation
= (4 - 3.9)/3*0.1
= 0.33
CpK = Min(0.33,0.33)
= 0.33
NutraFlakes cereal is to be packaged with a mean of 10 ounces plus or minus 0.1 ounces. Using
the data in the table given below, determine the standard deviation of the 20 weights and then
determine the
Cpk of the process. - correct answer ✔✔Standard Deviation = 0.11
