monitoring and controlling the number of students dropping every semester

A State university is interested in monitoring and controlling the number of students dropping every semester. The average academic drop in every semester is expected to be around 4 percent. Information about the last 4 semesters is as follows:

 

Sample #      Sample size           Number of Drops

1                      200                                  12

2                      120                                  12

3                      200                                  10

4                      150                                  14

 

Set up appropriate 3-standard deviation control limits for the problem.

Are samples 1-4 under control? Explain.

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