Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forenger in water and the resulting heat output (cal/cmZ/min) was measured. For m = 9 subjects with the syndrome, the average heat output was )( = 0.61, and for n = 9 nonsufferers, the average output was 2.07. Let [41 and \"2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with 51 = 0.3 and 0'2 = 0.5. (a) Consider testing Ho: 1'1 - #2 = 1.0 versus Ha: M1 - #2