The Merck Manual states that, for healthy adults, the meannumber of milliliters of oxygen per deciliter of blood is 19.0. Acompany that sells vitamins claims that its multivitamin complexwill increase the oxygen capacity of the blood. A random sample of28 adults took the vitamin for six months. After blood tests, itwas found that the sample mean was 20.7 ml of oxygen per deciliterof blood with a standard deviation of 6.7ml.
a. At the 0.05 level, test the claim that the average oxygencapacity has increased.
b. How much power do you have to detect a 3ml difference (fromthe null) in the average amount of oxygen in the blood?
c. What sample size would you need to have 90% power to detectthis observed difference?
