2. An investigator has a colony of N = 763 rats that have been subjected to a standard drug. The average length of time to thread a maze correctly under influence of the standard drug was found to be X = 17.2 seconds. The investigator now would like to subject a random sample of 11 rats to a new drug. The data obtained are show in the table below: Rat Standard drug, x; New drug, yi 1 14.3 15.2 2 15.7 16.1 3 17.8 18.1 4 17.5 17.6 5 13.2 14.5 6 18.8 19.4 7 17.6 17.5 8 9 10 11 14.3 14.1 14.9 15.2 17.9 18.1 19.2 19.5 a. Use ratio estimator to estimate the average (Y) time required to thread the maze while under the influence of the new drug; and construct a 95% confidence interval. b. Use regression estimator to estimate Ỹ and construct a 95% confidence interval. c. Use a difference estimator to estimate Ỹ and construct a 95% confidence interval. d. Which method would you recommend?

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