Question

In: Statistics and Probability

2. Suppose vitamin D levels among adults 20 and older in the U.S has a Normal...

2. Suppose vitamin D levels among adults 20 and older in the U.S has a Normal distribution with population mean 60 µmol/L and a population standard deviation of 25 µmol/L.

  1. Vitamin D deficiency is diagnosed when vitamin D levels are less than 30 µmol/L. Find the proportion of adults 20 and older in the U.S. population who are considered vitamin D deficient?
  2. Find the interquartile range of vitamin D levels in the U.S. among adults 20 and older.
  3. If we take a sample of size 25, what is the standard error of the sample mean if the population standard deviation is 30 µmol/L.
  4. What is the probability that a sample mean of 25 randomly selected people is less than 30 µmol/L (assume population standard deviation is 30 µmol/L).
  5. Find the interquartile range of the sampling distribution of the sample mean based on 25 randomly selected persons vitamin D levels among adults 20 and older (assume population standard deviation is 30 µmol/L).

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orchestra answered 2 years ago
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