ABC Insurance Company tracks absenteeism by weekly random samples. Based on historical experience and data, the company expects about 75 employees to be absent from its workforce of 5,000 on the average.

For a variety of financial reasons, the company has eliminated its flex time option for its employees. It has tracked absences over the past fifteen days. The size of each sample is 450. The numbers of absences per sample for the last 15 days are as follows:

Day	Number Absent	Day	Number Absent	Day	Number Absent
1	5	6	5	11	7
2	7	7	6	12	7
3	6	8	8	13	6
4	7	9	7	14	5
5	7	10	8	15	6

Assume that these 15 days are sufficient to perform this analysis.

a)Construct a 2 control chart for the proportion absent and plot the sample data

points. Base the center line and control limits on the historical absentee rate prior to the elimination of the flex time.

b) Has there been a change in the absenteeism rate? Explain why or why not and base it on the control chart results.

c) Suppose the insurance industry's standard for absenteeism is 1.2% (lower limit) to 3.4% (upper limit). What would you conclude about ABC's performance compared to the industry standard? Explain your reason and base it on the control chart results.

Please show detailed calculations. Thank you.