In: Statistics and Probability
Results from the last four samples from a process are shown in the table. Calculate control limits for an R and X chart. Determine whether the process is in statistical control.
| 
 Sample number  | 
 Observation 1  | 
 Observation 2  | 
 Observation 3  | 
 Observation 4  | 
| 
 1  | 
 5  | 
 5.01  | 
 4.9  | 
 5  | 
| 
 2  | 
 5.01  | 
 5.02  | 
 4.98  | 
 5  | 
| 
 3  | 
 5.02  | 
 5.07  | 
 4.99  | 
 4.98  | 
| 
 4  | 
 4.9  | 
 4.92  | 
 5.01  | 
 5.23  | 
To control the lead time of a process, samples of size ten are taken from the process. If the average time to complete the process is three days, with a standard deviation of 0.5 days. Calculate the control limits for an X chart at 3 sigma level.