1
ASQ Study Questions and Answers
Which of the following is a disadvantage of pre-control charts?
a. They do not provide information on how to reduce variability in a
process.
b. They cannot determine if a product being produced is centered
between
the tolerances during initial operation setup.
c. They are difficult to interpret.
d. They can be used for processes with a capability ratio less than 1. -
Correct answer-(A)
Pre-control charts do not provide information on how variability can be
reduced or how to bring a process into control. They should only be used
for processes with a capability ration greater than one. Poor capability in
a pre-control chart will indicate that assignable causes are present when
in fact there are no assignable causes of variation. Small sample sizes in
a pre-control chart will reduce the cart's ability to detect moderate to
large shifts. Pre-control charts are useful in initial setup operations to
determine whether a process is centered between the tolerances.
Which of the following is considered attribute data?
a. Customer wait time
b. Number of filing errors
c. Costs of processing applications
d. Thickness of a component - Correct answer-(B)
Attribute data is the term used to describe discrete data in quality
control. Wait time, processing costs, and thickness can each be
measured on a continuous scale. The number of filing errors can only
take on a countable set of numbers, and is considered discrete, or
attribute, data.
1
, 2
A population. has a distribution with a mean 24 and standard deviation
5.5. What is the approximate standard deviation of the sampling
distribution of the sample mean if random samples of size 32 are taken?
a. 5.5
b. 5.5/32
c. 5.5/√24
d. 5.5/√32 - Correct answer-(D)
The central limit theorem states that if the sample size n is sufficiently
large, then the sample mean x̄ follows approximately a normal
distribution with mean μ↓x̄ = μ and standard deviation σ↓x̄ = σ/√n.
In this case, μ = 24, σ = 5.5 and n = 32. Therefore, σ↓x̄ = 5.5/√32
A control chart monitoring the viscosity of a product shows that a
particular process is out of control. What should the process operator
do?
a. Attempt to fix the problem on their own.
b. Follow the reaction plan detailed in the control plan of the process.
c. Brainstorm to determine the cause of the problem.
d. Nothing; the process will stabilize on its own. - Correct answer-(B)
Control plans include detailed reaction plans that should be followed
when the control method detects a problem in the process. The reaction
plan details the steps the operator should take when the process has a
problem.
An x̄ and R chart was prepared for an operation using 25 samples with
four pieces in each sample. x̅̅ was found to be 26.75 and R¯ was 8.10.
During production, a sample of four was taken and the pieces measured
20, 29, 40, and 25. At the time this sample was taken
a. both the average and range were within the control limits.
2
, 3
b. neither the average nor range were within the control limits.
c. only the average was outside the control limits.
d. only the range was outside the control limits.
(R¯ is R with a bar on top) - Correct answer-(D)
https://docs.google.com/document/d/1n4TBe4uMD4IjlaTu0g31oHdZweu
ecVrXqgHt2ClUdck/edit?usp=sharing
Suppose that the p-value of a hypothesis test on μ1 - μ2 is 0.23. What
conclusions can be made (use significance level 10%)?
a. Reject Ho, conclude that the two means are the same.
b. Reject Ho, conclude that the two means are not the same.
c. Do not reject Ho, conclude that the two means are the same.
process.
d. Do not reject Ho, conclude that the two means are not the same. -
Correct answer-(C)
𝛼 = 0.10 and p-value = 0.23. Using the p-value approach to hypothesis
testing, if the p-value < 𝛼, we do not reject Ho. Since 0.23 > 0.10, we do
not reject Ho and conclude that the two means are the same.
Which phase of the corrective action cycle helps prevent problem
backsliding?
a. Problem identification
b. Correction
c. Recurrence control
d. Effectiveness assessment - Correct answer-(C)
3
, 4
In the problem identification phase, the team identifies sources for
improvement and develops a clear problem statement. In the correction
phase, the team develops feasible solutions to the problem and
recommends the best choice to implement. In the recurrence control
phase, the team standardizes the solution to ensure that the problem
does not reoccur and prevent backsliding. Finally, in the effectiveness
assessment phase, the team continues monitoring the process to
identify additional opportunities for improvement.
A team were investigated the number of patients falls in a hospital. Fifty-
six patients were randomly selected. Out of the 56 patients, there were
six recorded patient falls. Using this information, construct a 90%
confidence interval on the true proportion of patient falls in this hospital.
a. (-0.4016, 0.6158)
b. (0, 0.6158)
c. (0.0006, 0.2136)
d. (0.0391, 0.1751) - Correct answer-(D)
In this problem, a "success" is a patient fall. Therefore, x = 6 and n = 56.
We are 90% confident that the true proportion of patient falls in the
hospital is between 3.91% and 17.5l%.
A gage R&R study was performed for a process with 10 parts, tow
operators, and three replicates. The x̄ chart below displays information
about the gage
capability. What conclusions can be drawn from this control chart?
chart:
https://docs.google.com/document/d/1BXztHByUWC7ZOGKGoOzBHAL
dvv3Oy7V0zONooRHJzgM/edit?usp=sharing
a. The gage is capable of distinguishing between parts.
b. There is a significant difference between operators.
4
ASQ Study Questions and Answers
Which of the following is a disadvantage of pre-control charts?
a. They do not provide information on how to reduce variability in a
process.
b. They cannot determine if a product being produced is centered
between
the tolerances during initial operation setup.
c. They are difficult to interpret.
d. They can be used for processes with a capability ratio less than 1. -
Correct answer-(A)
Pre-control charts do not provide information on how variability can be
reduced or how to bring a process into control. They should only be used
for processes with a capability ration greater than one. Poor capability in
a pre-control chart will indicate that assignable causes are present when
in fact there are no assignable causes of variation. Small sample sizes in
a pre-control chart will reduce the cart's ability to detect moderate to
large shifts. Pre-control charts are useful in initial setup operations to
determine whether a process is centered between the tolerances.
Which of the following is considered attribute data?
a. Customer wait time
b. Number of filing errors
c. Costs of processing applications
d. Thickness of a component - Correct answer-(B)
Attribute data is the term used to describe discrete data in quality
control. Wait time, processing costs, and thickness can each be
measured on a continuous scale. The number of filing errors can only
take on a countable set of numbers, and is considered discrete, or
attribute, data.
1
, 2
A population. has a distribution with a mean 24 and standard deviation
5.5. What is the approximate standard deviation of the sampling
distribution of the sample mean if random samples of size 32 are taken?
a. 5.5
b. 5.5/32
c. 5.5/√24
d. 5.5/√32 - Correct answer-(D)
The central limit theorem states that if the sample size n is sufficiently
large, then the sample mean x̄ follows approximately a normal
distribution with mean μ↓x̄ = μ and standard deviation σ↓x̄ = σ/√n.
In this case, μ = 24, σ = 5.5 and n = 32. Therefore, σ↓x̄ = 5.5/√32
A control chart monitoring the viscosity of a product shows that a
particular process is out of control. What should the process operator
do?
a. Attempt to fix the problem on their own.
b. Follow the reaction plan detailed in the control plan of the process.
c. Brainstorm to determine the cause of the problem.
d. Nothing; the process will stabilize on its own. - Correct answer-(B)
Control plans include detailed reaction plans that should be followed
when the control method detects a problem in the process. The reaction
plan details the steps the operator should take when the process has a
problem.
An x̄ and R chart was prepared for an operation using 25 samples with
four pieces in each sample. x̅̅ was found to be 26.75 and R¯ was 8.10.
During production, a sample of four was taken and the pieces measured
20, 29, 40, and 25. At the time this sample was taken
a. both the average and range were within the control limits.
2
, 3
b. neither the average nor range were within the control limits.
c. only the average was outside the control limits.
d. only the range was outside the control limits.
(R¯ is R with a bar on top) - Correct answer-(D)
https://docs.google.com/document/d/1n4TBe4uMD4IjlaTu0g31oHdZweu
ecVrXqgHt2ClUdck/edit?usp=sharing
Suppose that the p-value of a hypothesis test on μ1 - μ2 is 0.23. What
conclusions can be made (use significance level 10%)?
a. Reject Ho, conclude that the two means are the same.
b. Reject Ho, conclude that the two means are not the same.
c. Do not reject Ho, conclude that the two means are the same.
process.
d. Do not reject Ho, conclude that the two means are not the same. -
Correct answer-(C)
𝛼 = 0.10 and p-value = 0.23. Using the p-value approach to hypothesis
testing, if the p-value < 𝛼, we do not reject Ho. Since 0.23 > 0.10, we do
not reject Ho and conclude that the two means are the same.
Which phase of the corrective action cycle helps prevent problem
backsliding?
a. Problem identification
b. Correction
c. Recurrence control
d. Effectiveness assessment - Correct answer-(C)
3
, 4
In the problem identification phase, the team identifies sources for
improvement and develops a clear problem statement. In the correction
phase, the team develops feasible solutions to the problem and
recommends the best choice to implement. In the recurrence control
phase, the team standardizes the solution to ensure that the problem
does not reoccur and prevent backsliding. Finally, in the effectiveness
assessment phase, the team continues monitoring the process to
identify additional opportunities for improvement.
A team were investigated the number of patients falls in a hospital. Fifty-
six patients were randomly selected. Out of the 56 patients, there were
six recorded patient falls. Using this information, construct a 90%
confidence interval on the true proportion of patient falls in this hospital.
a. (-0.4016, 0.6158)
b. (0, 0.6158)
c. (0.0006, 0.2136)
d. (0.0391, 0.1751) - Correct answer-(D)
In this problem, a "success" is a patient fall. Therefore, x = 6 and n = 56.
We are 90% confident that the true proportion of patient falls in the
hospital is between 3.91% and 17.5l%.
A gage R&R study was performed for a process with 10 parts, tow
operators, and three replicates. The x̄ chart below displays information
about the gage
capability. What conclusions can be drawn from this control chart?
chart:
https://docs.google.com/document/d/1BXztHByUWC7ZOGKGoOzBHAL
dvv3Oy7V0zONooRHJzgM/edit?usp=sharing
a. The gage is capable of distinguishing between parts.
b. There is a significant difference between operators.
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