SOLUTION: A nutritionist wants to determine whether people who regularly drink one protein shake per day have lower cholesterol than people in general. In the general population, cholesterol

Question 781248: A nutritionist wants to determine whether people who regularly drink one protein shake per day have lower cholesterol than people in general. In the general population, cholesterol is normally distributed with μ = 190 and σ = 30. A person who has followed the protein shake regimen for two months is randomly selected, and his cholesterol is 135. The nutritionist reported this result as "p < .01". Is the nutritionist's claim accurate? Use the five steps of hypothesis testing to verify the nutritionist's claim.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A nutritionist wants to determine whether people who regularly drink one protein shake per day have lower cholesterol than people in general.
In the general population, cholesterol is normally distributed with μ = 190 and σ = 30.
A person who has followed the protein shake regimen for two months is randomly selected, and his cholesterol is 135.
The nutritionist reported this result as "p < .01".
Is the nutritionist's claim accurate? Use the five steps of hypothesis testing to verify the nutritionist's claim.
---------
Ho: u >= 190
Ha: u < 190 (claim)
-------
x-bar = 135
z(135) = (135-190)/30 = -55/30
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p-value = P(z < -55/30) = 0.0334
----
Since the p-value is greater than 1%, fail to reject Ho.
The test results do not support the claim.
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Cheers,
Stan H.

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