Question

In 2011, the Institute of Medicine (IOM), a non-profit group affiliated with the Select one US National Academy of Sciences, reviewed a study measuring bone quality 10 points 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. Yes, there are close to equal numbers in each group. B. O Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group. C. O No, the groups are not the same size. D. O No, there are not at least 10 people with weak bones and 10 people with strong bones in each group.

Answer 1

Answer:

B. Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$, a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

The correct answer is:

B. Yes, there are at least 10 people with weak bones and 10 people with strong bones in each group.