In: Statistics and Probability
For the test of significance questions, clearly indicate each of the formal steps in the test of significance.
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.)
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 1: Treatment: No Pesticide Mean: 3.47 St. Dev: 1.21 n: 13
Group 2: Treatment: Malathion Mean: 1.36 St. Dev: 0.52 n: 14
ANSWER::
Conclusion: There is evidence to conclude that the mean number of beetle larvae per stem for the no pesticide group is different from malathion group.
The 95% confidence interval is:
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