In 2011, the Institute of Medicine (IOM), a non-profit group affiliated with the

Question

In 2011, the Institute of Medicine (IOM), a non-profit group affiliated with the US National Academy of Sciences, reviewed a study measuring bone quality and levels of vitamin-D in a random sample from bodies of 675 people who died in good health. 8.5% of the 82 bodies with low vitamin-D levels (below 50 nmol/L) had weak bones. Comparatively, 1% of the 593 bodies with regular vitamin-D levels had weak bones. Is a normal model a good fit for the sampling distribution? a.No, the groups are not the same size. o b.Yes, there are close to equal numbers in each group. C. No, there are not at least 10 people with weak bones and 10 people with strong bones in each group. d.Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group

Explanation / Answer

Here b, c and d are eliminated as they are not true. Yes we see that weak bones are less than 10 for both groups, but strong bones are > 10 for both groups, so c and d are not possible. b is eliminated, as we see that populations are not equal. Hence option (a) is correct.

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