Note that the sample mean is 496 (= 496) and sample standard deviation is 5.77 (s = 5.77) based on the data given. Your process specifications are given in part (b) of the textbook problem as 500 18 seconds.

a. What is the process capability ratio Cp? Show work to receive credit. (3pts)

b. What is the process capability index Cpk? Show work to receive credit. (4pts)

c. Is this process capable of meeting the design specifications at 3 sigma quality given your Cp and Cpk values calculated above? Explain why or why not. (2pts)

27. A critical dimension of the service quality of a call cen- ter is the wait time of a caller to get to a sales represen- tative. Periodically, random samples of three customer calls are measured for time. The results of the last four samples are in the following table: Sample Time (Sec) 1 495 501 498 2 512 508 504 3 505 497 501 4 496 503 492