Find an upper capability index assuming normality of, Basic Statistics

Find an upper capability index assuming normality of

A health care facility in a metropolitan area is interested in the efficiency of its laboratory turnaround time. Based on data collected over last year, the mean turnaround time was found to be 55 minutes with a standard deviation of 15 minutes. The facility has set a goal value of 60 minutes.

Find an upper capability index assuming normality of distribution of turnaround times. In what proportion of time will the goal be met?

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