Question: Suppose a department store wants to estimate the mean age of the customers who shop in a contemporary apparel department correct to within 3 years with 95% confidence. An estimate of the standard deviation is 12.5.

1. Approximately how large a sample would be required?
2. Suppose they wanted to be within only 1 year of the true mean with 98% confidence. Now how large a sample would be needed.
3. Find how large a sample would be needed if the level of confidence is changed to 99% and the bound to within 0.5 years.
4. What restricts companies from using as large a sample as they would like?

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