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