Please see attached file
Preview:
A new machine has just been installed to cut and rough?shape large slugs. The slugs are then transferred to a precision grinder. One of the critical measurements is the outside diameter. The quality control inspector randomly selected five slugs each hour, measured the outside diameter, and recorded the results. The measurements (in millimeters) for the period 8:00 AM to 9:30 AM follow. Note quality control constant (A2 = 1.023, D3 = 0, D4 = 2.574)
Control Chart
Student learning
outcomes
Construct and demonstrate the application of control charts
for monitoring process variation.
Problem:
A new machine has just been installed to cut and rough?shape
large slugs. The slugs are then transferred to a precision grinder. One of the
critical measurements is the outside diameter. The quality control inspector
randomly selected five slugs each hour, measured the outside diameter, and
recorded the results. The measurements (in millimeters) for the period 8:00 AM
to 9:30 AM follow. Note quality control
constant (A2 = 1.023, D3 = 0, D4 = 2.574)
Outside diameter (millimeters)
|
Time Period |
3 samples pulled each time period |
X-Bar |
Range |
||
|
8:00 |
3 |
4 |
2 |
||
|
8:30 |
4 |
5 |
3 |
||
|
9:00 |
2 |
2 |
2 |
||
|
9:30 |
1 |
2 |
3 |
||
a. Determine the control limits for the mean and the range.
b. Plot the control limits far the mean outside diameter and
the range.
c. Are there any points on the mean or the range chart that
are out of control? Comment on the chart:
Rubric:
|
Quality Control Chart Skills Outcome |
||||
|
Unacceptable (1 pt) |
Partially proficient (2 pts) |
Proficient (3 pts) |
Accomplished (4 pts) |
|
|
A. |
The student is unable to calculate the average and the range. |
The student can calculate the average and the range. However the |
The student can calculate the average and the range. The student is |
The student can calculate the average and the range. The student is |
|
B. |
The student does not understand the problem well enough to plot a |
The student is able to plot the control chart identifying the process |
The student is able to plot the control chart identifying the process |
The student is able to plot the control chart identifying the process |
|
C. |
The student is unable to comment on the control chart. |
The student is able to comment on the control chart. However, there |
The student is able to comment on the control chart. However, there |
The student is able to comment on the control chart, identifying any |

