Question: Early Morning Delivery Service guarantees delivery of small packages by 10:30 a.m. Of course, some of the packages are not delivered by 10 a.m. For a sample of 200 packages delivered each of the last 15 working days, the following number of packages were delivered after the deadline: 9, 14 ,2 ,13 ,9 ,5 ,9 ,3 ,4 ,3 ,4 ,3 ,3 ,8 and 4.

a) Determine the mean proportion of packages delivered after 10:30 a.m.

b) Determine the control limits for the proportion of packages delivered after 10:30 a.m. Where any of the sampled days out of control?

c) If 10 packages out of 200 in the sample were delivered after 10:30 a.m. today, is this sample within the control limits?