One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within50 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over50minutes for the cable technician to arrive. The customer asks a simple random sample of16other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is54.6minutes with a standard deviation of12.8minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the0.025level of significance.

Step1of2:Compute the value of the test statistic. Round your answer to three decimal places.

Step2of2 : draw a conclusion and interpret the interpret the decision.