Question: A sociologist wants information on the number of children per family in her native state of Nebraska. Forty randomly selected farm families to construct a 90% confidence interval for the mean number of children,  per family. She finds that the 90% confidence interval for  is from 1.3 to 2.4 children per family.

1. Determine the margin of error (sampling error), e .
2. What is the population standard deviation ?
3. Determine the sample size required to ensure that we can be 95% confident that her estimate, \[\bar{x}\] , is within 0.1 child of .

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