At the 0.05 level, test the claim that the average oxygen capacity has increased. b. How much power do you have to detect a 3ml difference (from the null) in the average amount of oxygen in the blood? c. What sample size would you need to have 90% power to detect this observed difference?
The Merck Manual states that, for healthy adults, the
milliliters of oxygen per deciliter of blood is 19.0. A company that sells vitamins
claims that its multivitamin complex will increase the oxygen capacity of the
blood. A random sample of 28 adults took the vitamin for six months. After blood
tests, it was found that the sample mean was 20.7 ml of oxygen per deciliter of
blood with a standard deviation of 6.7ml.
a. At the 0.05 level, test the claim that the average oxygen capacity has
increased.
b. How much power do you have to detect a 3ml difference (from the null) in
the average amount of oxygen in the blood?
c. What sample size would you need to have 90% power to detect this
observed difference?
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