(Step-by-Step) The National Health and Nutrition Examination Survey of 1976-80 found that the mean serum cholesterol level for U.S. males aged 20-74 years
Question: The National Health and Nutrition Examination Survey of 1976-80 found that the mean serum cholesterol level for U.S. males aged 20-74 years was 211 . The standard deviation was approximately 90. Consider the sampling distribution of the sample mean based on samples of size 100 drawn from this population of males.
- What are the mean and standard deviation of the sampling distribution?
- Is it necessary for the original distribution to be normal? Explain.
- Suppose a random sample of 100 is taken, what is the probability that the mean serum cholesterol level will be between 198 and 220?
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