Beetles in oats. In a study of leaf beetle damage on oats, researchers measured the number of beetle larvae per stem in small plots of oats after randomly applying one of two treatments: no pesticide or malathion at the rate of 0.25 pound per acre. Below are the summary statistics. Compute a 95% confidence interval for the difference in the mean number of beetle larvae per stem for the no pesticide group and malathion group.

Group	Treatment	Mean	St.Dev	n
1	No pesticide	3.47	1.21	13
2	malathion	1.36	0.52	14

Step 1: State the null and alternative hypothesis. Step 2: Calculate the test statistic. Step 3: Find the p-value. Step 4: State your conclusion. (Do not just say "Reject H0" or "Do not reject H0", state the conclusion in the context of the problem.)