In: Statistics and Probability
3. Suppose that we obtain "5-lb" boxes of Bunnynibble and Kittybarf grasses, 30 boxes of each. The Bunnynibble boxes have a mean weight of 5.02 lbs and a sample standard deviation of 0.05, while the Kittybarf boxes have a mean weight of 5.05 lbs and a sample standard deviation of 0.08.
a. Find a 95% confidence interval for the difference in mean distances.
b. Is there enough evidence at the ?=0.05 significance level to indicate a difference in the mean distances? What is the p-value of the test?