The branch manager of a savings bank has recorded the number of errors of a particular type that each of 12 tellers has made during the past year. The results (stored in Teller) are as follows:
Teller | Number of Errors |
Alice | 4 |
Carl | 7 |
Gina | 12 |
Jane | 6 |
Livia | 2 |
Marla | 5 |
Mitchell | 6 |
Nora | 3 |
Paul | 5 |
Salvador | 4 |
Tripp | 7 |
Vera | 5 |
a. Do you think the bank manager will single out Gina for any disciplinary action regarding her performance in the past year?
b. Construct a c chart for the number of errors committed by the 12 tellers. Is the number of errors in a state of statistical control?
c. Based on the c chart developed in (b), do you now think that Gina should be singled out for disciplinary action regarding her performance? Does your conclusion now agree with what you expected the manager to do?
d. On the basis of the results in (b), what should the branch manager do to reduce the number of errors?
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