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A critical dimension of the service quality of a call center is the wait time for a caller to get to a customer service representative. Periodically, random samples of three customer calls are measured with respect to these wait times. The results of the last four such samples are provided below. Suppose that the process has been determined to be within statistical control. If the specifications for wait time are 500 ± 18 seconds, is the process capable of meeting the specifications? Justify your answer. Assume that three-sigma performance is desired; thus, the target capability measure is 1.0. Please, show excel formulas.
Sample | Time 1 | Time 2 | Time 3 | Mean | Range |
1 | 495 | 501 | 499 | 498 | 6 |
2 | 514 | 510 | 504 | 509 | 10 |
3 | 505 | 498 | 509 | 504 | 11 |
4 | 496 | 507 | 492 | 498.3333 | 15 |
Average | 502.5 | 10.5 |
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