Question
According to a recentpoll, 27% of adults in a certain area have high levels of cholesterol. They report that such elevated levelscould be financially devastating
According to a recentpoll, 27% of adults in a certain area have high levels of cholesterol. They report that such elevated levels"could be financially devastating to the regions healthcaresystem" and are a major concern to health insurance providers. According to recentstudies, cholesterol levels in healthy adults from the area average about 209 mg/dL, with a standard deviation of about 35 mg/dL, and are roughly Normally distributed. If the cholesterol levels of a sample of 48 healthy adults from the region istaken, answer parts (a) through (d).
What shape will the sampling distribution of the meanhave?
A.
The sampling distribution of the mean is skewed right.
B.
The sampling distribution of the mean is skewed left.
C.
The sampling distribution of the mean is normal.
D.
There is not enough information to determine the shape of the sampling distribution.
(b) What is the mean of the samplingdistribution?
=
mg/dL
(c) What is the standarddeviation?
SD(y)=
mg/dL (Round to two decimal places asneeded.)
(d) If the sample size were increased to 90, how would your answers to parts (a)-(c)change?
For part (a), the shape of the distribution would (also be normally distributed, become skewed left, or become skewed right)
For part (b), the mean of the sampling distribution would (remain as or change to)
=
mg/dL.
For part (c), the standard deviation of the sampling distribution would (change to or remain as)
SD(y)=
mg/dL. (Round to two decimal places asneeded.)
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