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# Solving the Confidence Interval for the Mean

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A recent survey of 50 executives who were laid off from their previous position revealed it took a mean of 26 weeks for them to find another position. The standard deviation of the sample was 6.2 weeks.

Construct a 95 percent confidence interval for the population mean. Is it reasonable that the population mean is 28 weeks? Justify your answer.

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#### Solution Preview

(1) Construct a 95 percent confidence interval for the population mean.

The formula for the confidence interval for a population mean is: x +/- z*standard error

First, let's find the values for each of the parts of the confidence interval.
x is the sample mean. In this case, x = ...

#### Solution Summary

This solution provides the step-by-step calculations for the problem and interpretation of the results.

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