Question: With rising fuel costs, the amount of time it takes for an airliner to taxi from the departure gate to takeoff is a concern. Data File ATL Taxi Times gives taxi times for random samples of 100 flights in July 2000 and in July 2007 at the Atlanta Hartsfield Airport. The sample standard deviation for the 2007 data is 10.72 minutes.

1. If we use 10.72 as the population standard deviation, what sample size would be required to estimate the mean taxi time with a margin of error of plus or minus 2 minutes with 95% confidence?
2. If we use 10.72 as the population standard deviation, what sample size would be required to estimate the mean taxi time with a margin of error of plus or minus 2 minutes with 99% confidence?
3. For a fixed margin of error, what is the relationship between confidence level and sample size?

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