Question 1 A chemist developing insect repellents Wishes to know whether a newly developed formula gives greater protection from insect bites than that given by a leading product on the market. In an experiment, 10 volunteers each had one arm sprayed with the old product and the other sprayed with the new formula. Then each subject placed his arms into two chambers lled with equal numbers of mosquitoes, gnats, and other biting insects. The following shows the number of bites received on each arm. Volunteers ------Il-n I! 01d -roduct \"nu-\"n ---------n Assume that the population variances of both subjects are the same, and the populations are normally distributed. (a) By means of a 2 independent samples testing with a type I error of 0.01, should the chemist conclude that the new formula is more effective than the current market leader? (22 marks) (b) By means of a paired difference testing with the same type I error as in (a), should the chemist conclude that the new formula is more effective than the current market leader? (22 marks) (c) Which method is more appropriate? Why? (6 marks)