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The branch manager of a savings bank has recorded the number of errors of a particular SELF Test c Problems for Section 17.4 731 type that each of 12 tellers has made during the past year. The results (stored in ) are as follows: Teller Teller Number of Errors Teller Number of Errors Alice 4 Mitchell 6 Carl 7 Nora 3 Gina 12 Paul 5 Jane 6 Salvador 4 Livia 2 Tripp 7 Marla 5 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 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 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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