The amount of yearly rainfaill in Chicago was sampled. 40 years from the records was randomly checked. The mean rainfaill was 33.98 in ches, with a standard deviation of 5.22 inches.

Provide 90%, 95%, and 99% confidence intervals for these values. Remember to provide your answer in the form of a properly phrased confidence interval statement.

Suppose the sample size was doubled. How would this affect the confidence interval? You don't have to provide a quantitative answer here. Simply indicate if it would go up, down, or remain approximately the same.