Computational Statistics

In parts of the eastern United States, whitetail deer are a major nuisance to farmers and homeowners, frequently damaging crops, gardens, and landscaping. A consumer organization arranges a test of two of the leading deer repellents A and B on the market. 63 unfenced gardens in areas having high concentrations of deer are used for the test. 32 gardens are chosen at random to receive repellent A, and the other 31 receive repellent B. For each of the 63 gardens, the time elapsed between application of the repellent and the appearance in the garden of the first deer is recorded. For repellent A, the mean time is 101 hours. For repellent B, the mean time is 89 hours. Assume that the two populations of elapsed times have normal distributions with population standard deviations of 11 and 7 hours, respectively. a. Let / and #2 be the population means of elapsed times for the two repellents, respectively. Find the point estimate of M1 - /2. The point estimate of /1 - /2 is i b. Find the margin of error of a 97% confidence interval for this estimate. Round your answer to two decimal places. The margin of error of a 97% confidence interval for this estimate is c. Test at the 2% significance level whether the mean elapsed times for repellents A and B are different. The for repellents A and B. mean elapsed times are different eTI mean elapsed times are not different