Problem 1: (30 points)

An airline is interested in tracking quality by studying the on-time performance of their flights. They track the number of flights that are late each week by taking a sample of 100 flights. They use a target of 5% for the percentage of late flights with a confidence level of 95%.

(a) (3 points) What type of control chart should be used in this situation?

(b) (7 points) What is the UCL and LCL for the desired control chart based on the specified target for the percentage of late flights?

(c) (5 points) What is the value of the item marked (c) in the table?

	Number Late	p
Sample 1	3	3
Sample 2	2	2
Sample 3	1	1
Sample 4	5	(c)
Sample 5	7	7

(d) (9 points) Use your control limits from part (b) along with the following 5 weeks of data on the number of late flights in each sample to draw a control chart.

(e) (6 points) Is the process in control? Why or why not? If not in control, suggest some potential reasons.