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# Confidence Intervals, Sample Size, and Confidence Levels

1. Can you give a general rule as to what happens with confidence intervals as a function of sample sizes and confidence levels? What are the trade-offs?

2. Take a sample of something in your work environment, something simple, and calculate a confidence interval.

Some possible samples: the average number of people in your unit for the last few weeks; the average number of people in cars you pass on the freeway (be careful - maybe do this when carpooling); the average length of a phone call; the proportion of men vs women that you see in a day.

Does the confidence interval surprise you? Interpret it.

#### Solution Preview

Please see the attached document for a full solution.

1. Please see the example in the attachment.

N is sample size and z is confidence level.
A trade-off (or tradeoff) is a situation that involves losing one quality or aspect of something in return for gaining another ...

#### Solution Summary

This response defines and describes the relationship confidence intervals, samples sizes, and confidence levels.

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