An agricultural scientist is working to develop a coating for a seed of corn that will yield more kernels per ear. They randomly select 13 seeds that are not coated and 16 seeds that are coated with...

An agricultural scientist is working to develop a coating for a seed of corn that will yield more kernels per ear. They randomly
select 13 seeds that are not coated and 16 seeds that are coated with the new additive. At the end of the season, the number of
kernels per ear are counted and the results are shown in the table below.

Seed Sample size Mean kernels Standard deviation
No Coating 13 549.76 168.76
Coating 16 557.50 104.62

(a) Find and interpret a 95% confidence interval estimate for the difference in mean number of kernels for non-coated and coated
seeds.

(b) Using this confidence interval, is there evidence of a difference in mean number of kernels for non-coated and coated seeds?
Explain your reasoning.

(c) It turns out that both data sets were somewhat skewed. Does this invalidate your analysis? Explain.