A group of earth scientists studied the small diamonds found

A group of earth scientists studied the small diamonds found in a nodule rock carried up to the earth\'s surface in a surrounding rock. Among other things, they measured the amount of nitrogen (in parts per million) in each of the 183 diamonds extracted from the nodule rock. A histogram shows that the sample nitrogen data is heavily skewed with a few large outliers. The scientists use the sample data and the t-distribution to construct a, 95% confidence interval for the average amount of nitrogen in all diamonds. How accurate is the confidence interval likely to be? Comment on the success rate of the confidence interval as we as whether the use of the t-distribution is warranted.

Solution

The confidence interval for the average amount of nitrogen holds the true population mean with 95% confidence.

Higher the confidence limit, accurate the confidence interval.