A biologist with the Department of Agriculture is studying the growth of artichokes. She knows that the number of artichokes produced by each plant follows a distribution which is approximately normal. She collects a sample of six plants and counts the number of artichokes produced by each plant. Here are her results:
32 17 51 40 36 34
Construct a 99% confidence interval for the mean number of artichokes produced by an artichoke plant.