Question

7. (a) In a study of the effects of a medication on the body temperature of normal adults, with what confidence a scientist can wish that the estimates made from a sample of 100 adults are within 0.01°F of the population mean. The population under study is believed to have standard deviation in body temperature of 0.07°F. (6) The 82% confidence interval of the body temperature of normal adults is between 89.195°F and 89.205°F. How many subjects should be used in the sample of mean 89.2°F if these conditions are to be met? The population under study is believed to have standard deviation in body temperature of 0.07°F. (10 points)

Answer 1

7@ =100, 5= 0.07 z = X-4 ~ N(0,1) P(18-41 <0.01) FP(-0.01€ 3-4 <0.01) = p (-0.01. sz<cool) 0.0 0.07 <?<0.07) vioo EP (-1.43z <1.43) - P(ZC 1.43) - PLZC-1043) = 0.9236 - 0.0764 10.8472 ~ 85% Confidence. E = 89.205 – 89.2 = 0.05 E=zx12

ao 1-0.82 = 0.18 ii ₂ = 0.09 ( zoooo80.07 12 - 0.05 - NORMS)NV 10.09) X0.07 Oo os (prane 092007) =(13620.04. j* = 3.5264/7