I need help on this stats problem. Do not know why I got part a wrong and having trouble figuring out how to do part b and c

Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in ngers 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 = 10 subjects with the syndrome, the average heat output was )7 = 0.61, and for n = 10 nonsufferers, the average output was 2.06. Let #1 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 (71 = 0.1 and 02 = 0.5. (a) Consider testing Ho: #1 [.12 = 1.0 versus Ha: #1 [12