Historically, the Average Time to Service a Customer Complaint Has $\bar{x}$

Multiple Choice

Historically, the average time to service a customer complaint has been 3 days and the standard deviation has been 0.50 day. Management would like to specify the control limits for an $\bar{x}$ chart with a sample size of 10- and 3- sigma limits. Suppose the average service time from the next 10 samples yielded the following result: 3.2, 2.1, 3.6, 2.8, 3.9, 3.5, 2.7, 4.1, 2.6, and 3.3 days. What conclusion can be drawn?

A) Assuming the process variability is in control, the process average is also in statistical control.
B) Assuming the process average is in control, the process average is out of statistical control.
C) The sample size should be increased.
D) No conclusion can be drawn because there is insufficient data.