Setting Quality Targets: Analyzing Call Centre Performance

AI Thread Summary
The call center aims for a quality target of answering calls within 30 seconds, with an average response time of 28 seconds and a standard deviation of 2 seconds. To determine the percentage of customers waiting too long, one must calculate the probability of answering times exceeding 30 seconds using the normal distribution. Since 1 standard deviation above the mean is 30 seconds, approximately 68% of calls fall within one standard deviation of the mean. Therefore, about 16% of customers are likely waiting longer than the target time. This analysis highlights the importance of understanding call center performance metrics for improving customer service.
xargon
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Hi,

This is not a physics question. However, I was hoping someone could help me.

A call centre sets a quality target of answering the telephone within 30 seconds. The results of monitoring show a normal distribution with an average answer time of 28 seconds and a standard deviation of 2 seconds.
question: what percentage of customers are still being kept waiting too long?

Thanks,

xargon
 
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1 SD to the right of the mean is 30 s. I think you need to work out P(Z < 30) and take that away from 1, though I can't remember how to do that.
 
about 68% of the area of the normal distribution lies between minus 1 sd and plus sd from the mean. So I think you can find the answer from there by yourself...
 
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