Question: For this lab, we will use a subset of the North Carolina birth data set. The data set nc2005birth200.mtw is a random sample of 200 births from the data set nc2005birth500.mtw. When doing this assignment, make sure you are working with the data set with only 200 observations! In some cases n may be smaller than 200 depending on the variable.

Part 1 : For each of the following confidence intervals follow the steps outlined in class for constructing a confidence interval and interpreting your interval for a proportion, mean, standard deviation, or variance. (Hint you will want to use Excel or StatCrunch, to calculate some preliminary information such as frequency, mean and standard deviation of sample, sample size, etc.) Be sure to interpret each of your confidence intervals. For parts d and e, calculate using both a z score and t score. Comment on if you get similar results.

1. Give a 90% confidence interval for the proportion of mothers who give birth to a low birth weight child
2. Give a 99% confidence interval for the proportion of mothers who give birth to a low birth weight child
3. Give a 99% confidence interval for the proportion of mothers who gave birth to premature children
4. Give a 90% confidence interval for the mean age of fathers.
5. Give a 90% confidence interval for the mean amount of weight gained during pregnancy.
6. Explain why the 90% confidence interval for the proportion of mothers who give birth to a low birth weight child (part a above) is smaller than the 99% confidence interval given in part b.

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Deliverable: Word Document