A cable television customer call center has a goal that states that the median time for each completed call should not exceed four minutes. If calls take too long, productivity is reduced and other customers have to wait too long on hold. The operations manager does not want to incorrectly conclude that the goal isn’t being satisfied unless sample data justify that conclusion. A sample of 12 calls was selected, and the following times (in seconds) were recorded:

194 278 302 140 245 234 268 208 102 190 220 255

a. Construct the appropriate null and alternative hypotheses.

b. Based on the sample data, what should the operations manager conclude? Test at the 0.05 significance level.