Question

You are contacted by a phone-in technical support business that is interested in some information about...

You are contacted by a phone-in technical support business that is interested in some information about the amount of time their customers spend on hold. You find out that on average, each caller spends 5.12 minutes on hold with a standard deviation of 2.45 minutes. If you were to take a random sample of 41 callers, you would expect 77% of the time the average hold time would be less than how many minutes?

Math   Statistics-And-Probability   
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Answer #1

This question is solved using the central limit theorem.

According to the central limit theorem, when population mean and standard deviation is given and a large sample size (greater than 30) is taken then the distribution of sample means is approximately normally distributed.

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