SOLUTION: A current area of research interest is the familial aggregation of cardiovascular risk factors in general, and lipid levels in particular. Suppose that it is known that the nationa

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Question 912448: A current area of research interest is the familial aggregation of cardiovascular risk factors in general, and lipid levels in particular. Suppose that it is known that the national average cholesterol level in children is 175 mg/dL. A group of men who have died from heart disease within the past year are identified, and the cholesterol levels of 53 of their offspring are measured. The average cholesterol level of the offspring is found to be 180.9 mg/dL with standard deviation 29.8 mg/dL.
At α = .06, can it be concluded that the average cholesterol level of children whose father died from heart disease is higher than the national average?
(a) Find the value of the test statistic for the above hypothesis.
(b) Find the critical value.
(c) Find the p-value.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
Ho: mean = 175
Ha: mean > 175 (claim)
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test stat:: z(180.9) = (180.9-175)/(29.8/sqrt(58)) = 1.5078
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p-value = P(z < 1.5078) = .9342
P(z > 1.5078) = 1-.9342 = .0658
.0658 > .06
Not sufficient information to show:
children whose father died from heart disease is higher than the national average

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