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3. We are deployed to Kiev in Ukraine to assess the Vitamin D status among adults...

3. We are deployed to Kiev in Ukraine to assess the Vitamin D status among adults 20 and older during the winter where the sun shines on average for 50 hours a month. We take a random sample of 25 persons and find the sample mean vitamin D levels is 40 µmol/L and the sample standard deviation is 30 µmol/L.

  1. Calculate a 95% confidence interval for the true population mean vitamin D levels among adults 20 and older in Kiev?
  2. During the winter months, is their evidence that adults 20 and older in Kiev may be vitamin D deficient, if population Vitamin D deficiency is diagnosed when population mean vitamin D levels are less than 30 µmol/L. Explain?
  3. Suppose you have been asked to travel to Siberia to assess vitamin D levels in the winter. We want to plan the sample size so that the width of the entire 95% confidence interval is 10 µmol/L. Use 30 µmol/L as your value of the standard deviation for the calculation?
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