Q. Critical dimension of service quality of a call center is wait time of a caller to get to a sales representative. Periodically, random samples of three customer calls are measured for time. results of last four samples are in subsequent table:
Sample
Time
1
495
501
498
2
512
508
504
3
505
497
501
4
496
503
492
a. Assume which management is willing to use three sigma control limits, also using only historical information contained in four samples, Show which call center access time is in statistical control.
b. Suppose which standard deviation of process distribution is 5.77. If specifications for access time are 500 ± 18 sec., is process capable? Why or why not? Assume three-sigma quality.