Gosset investigated the mean yield in pounds/acre for regular corn seed and kiln-dried corn seed. For the regular corn seed, there was a sample size of 11 acres, sample mean of 1841.5 pounds/acre, and sample standard deviation 342.7. For the kiln-dried corn seed, there was a sample size of 11 acres, sample mean of 1875.2 pounds/acre, and sample standard deviation 332.9.
(a) Assuming that both seed types follow a normal distribution and the plots are independent, compute a 99% confidence interval for μreg - μkiln. Use df = 20.