In: Statistics and Probability
| 
 Day  | 
 Number of Apps  | 
 Number Late  | 
| 
 1  | 
 260  | 
 3  | 
| 
 2  | 
 250  | 
 4  | 
| 
 3  | 
 240  | 
 2  | 
| 
 4  | 
 350  | 
 5  | 
| 
 5  | 
 200  | 
 2  | 
| 
 6  | 
 250  | 
 4  | 
| 
 7  | 
 246  | 
 3  | 
| 
 8  | 
 258  | 
 5  | 
| 
 9  | 
 275  | 
 2  | 
| 
 10  | 
 274  | 
 1  | 
| 
 11  | 
 219  | 
 0  | 
| 
 12  | 
 238  | 
 10  | 
| 
 13  | 
 250  | 
 4  | 
| 
 14  | 
 302  | 
 6  | 
| 
 15  | 
 219  | 
 20  | 
| 
 16  | 
 246  | 
 3  | 
| 
 17  | 
 251  | 
 6  | 
| 
 18  | 
 273  | 
 7  | 
| 
 19  | 
 245  | 
 3  | 
| 
 20  | 
 260  | 
 1  | 
A P chart will be created in this regard:
Solution:

Now,

Or. P bar = 91/5106 = 0.0178

Or n = 5106/20 = 255 almost.


Calculations:
So, the control chart is given
below:

The process is not under control as there is a point situated outside the control limit. For the process to be under control, all the p values should be within the control limits which is not in the case of this experiment...
End of the Solution...