According to the Gallup Poll, 27% of U.S. adults have high levels of cholesterol. Gallup reports that such elevated levels “could be financially devastating to the U.S. healthcare system” and are a major concern to health insurance providers. According to recent studies, cholesterol levels in healthy U.S. adults average about 215 mg/dL with a standard deviation of about 30 mg/dL and are roughly Normally distributed. If the cholesterol levels of a sample of 42 healthy U.S. adults is taken, a. What shape should the sampling distribution of the mean have? b. What would the mean of the sampling distribution be? c. What would its standard deviation be? d. What is the probability that the mean cholesterol level of the sample will be i. no more than 215? ii. Will be between 205 and 225? iii. Will be less than 200? iv. Will be greater than 220
1. According to the Gallup Poll, 27% of U.S. adults have high levels of cholesterol. Gallup
reports that such elevated levels “could be financially devastating to the U.S. healthcare
system” and are a major concern to health insurance providers. According to recent
studies, cholesterol levels in healthy U.S. adults average about 215 mg/dL with a
standard deviation of about 30 mg/dL and are roughly Normally distributed. If the
cholesterol levels of a sample of 42 healthy U.S. adults is taken,
a. What shape should the sampling distribution of the
b. What would the mean of the sampling distribution be?
c. What would its standard deviation be?
d. What is the probability that the mean cholesterol level of the sample will be
i. no more than 215?
ii. Will be between 205 and 225?
iii. Will be less than 200?
iv. Will be greater than 220?
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