In: Statistics and Probability
Given the following data, construct a three-sigma range control chart.
| Day of Sample | Sample Values |
| Saturday | 22,19,20 |
| Sunday | 21,20,17 |
| Monday | 16,17,18 |
| Tuesday | 20,16,21 |
| Wednesday | 23,20,20 |
| Thursday | 19,16,21 |
a. If Friday's results are 15,14,21 is the process in control?
b.Construct a three-sigma means control chart and determine if the process is still in control on Friday.
Result:
Given the following data, construct a three-sigma range control chart.
|
Day of Sample |
Sample Values |
|
Saturday |
22,19,20 |
|
Sunday |
21,20,17 |
|
Monday |
16,17,18 |
|
Tuesday |
20,16,21 |
|
Wednesday |
23,20,20 |
|
Thursday |
19,16,21 |
a. If Friday's results are 15,14,21 is the process in control?
|
Quality Control Process Charts |
|||||
|
Sample size |
3 |
||||
|
Number of samples |
6 |
||||
|
Mean |
Range |
||||
|
Upper Control Limit, UCL |
22.97 |
9.44 |
|||
|
Center |
19.22 |
3.67 |
|||
|
Lower Control Limit, LCL |
15.47 |
0.00 |
|||

Range for Friday is 21-14=7 is within the control limits. Process is in control
b.Construct a three-sigma means control chart and determine if the process is still in control on Friday.

Mean for Friday is 16.67 is within the control limits. Process is in control