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To estimate the average length of phone calls coming into a call center, a random sample of 80 calls was selected. The average length of calls in this sample was 3.8 minutes with a standard deviation of 0.9 minutes.
a) Which distribution would you have to use for a confidence interval for the average length of all phone calls coming into this call center and why?
b) Find a 95% confidence interval for the average length of all phone calls and interpret it.
c) What would happen if you wanted to increase the confidence level to 99% and why? No calculation necessary.
d) What would happen if the results had been based on a sample of 120 rather than 80 calls and why? No calculation necessary.
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