A component used as a part of a power transmission unit is manufactured using a lathe.
Twenty samples, each of five components, are taken at half-hourly intervals. Within the flow of the day a number of (non-)technical incidents appear. These include taking a lunch break and adjusting or resetting the machine.
For the most critical dimension, the process mean (????¯) is found to be 3.500 cm, with a normal distribution of the results about the mean, and a mean sample range (????¯) of 0.0007 cm.
With the above scenario in mind, complete the following tasks considering the data.
|
Time |
Component 1 |
Component 2 |
Component 3 |
Component 4 |
Component 5 |
|
7.30 |
0.2 |
0.5 |
0.4 |
0.3 |
0.2 |
|
7.35 |
0.2 |
0.1 |
0.3 |
0.2 |
0.2 |
|
8.00 |
0.2 |
-0.2 |
-0.3 |
-0.1 |
0.1 |
|
8.30 |
-0.2 |
0.3 |
0.4 |
-0.2 |
-0.2 |
|
9.00 |
-0.3 |
0.1 |
-0.4 |
-0.6 |
-0.1 |
|
9.05 |
-0.1 |
-0.5 |
-0.5 |
-0.2 |
-0.5 |
|
Machine stopped -tool clamp readjusted |
|||||
|
10.30 |
-0.2 |
-0.2 |
0.4 |
-0.6 |
-0.2 |
|
11.00 |
0.6 |
0.2 |
-0.2 |
0.0 |
0.1 |
|
11.30 |
0.4 |
0.1 |
-0.2 |
0.5 |
0.3 |
|
12.00 |
0.3 |
-0.1 |
-0.3 |
0.2 |
0.0 |
|
Lunch |
|||||
|
12.45 |
-0.5 |
-0.1 |
0.6 |
0.2 |
0.3 |
|
13.15 |
0.3 |
0.4 |
-0.1 |
-0.2 |
0.0 |
|
Reset tool by 0.15 cm |
|||||
|
13.20 |
-0.6 |
0.2 |
-0.2 |
0.1 |
-0.2 |
|
13.50 |
0.4 |
-0.1 |
-0.5 |
-0.1 |
-0.2 |
|
14.20 |
0.0 |
-0.3 |
0.2 |
0.2 |
0.4 |
|
Batch finished - machine reset |
|||||
|
16.15 |
1.3 |
1.7 |
201 |
1.4 |
1.6 |
