3) Which of the following questions can be answered based on a normal model?Explain. (You...

3)    Which of the following questions can be answered based on a normal model?Explain. (You do not need to answer the questions, just determine if a normal model is appropriate.)
a)    According to the growth charts produced by the World Health Organization, one-month-old girls have a mean head circumference of 36.55cm and a standard deviation of 1.17 cm. In general, body measurements in a large population can be modeled by a normal curve.
In a study of health conditions in a county with a high poverty rate, researchers find that a random sample of 25 one-month-old girls have a mean head circumference of 36cm. Does this sample provide strong evidence that the mean head circumference for the population of one-month-old girls in this county is unusually small?
b)    According to the US Census Bureau 2014 Annual Social and Economic Supplement, the mean household income in the United States was $72,641. Previous studies suggest that the standard deviation is about $35,000. Income data is skewed strongly to the right.
We are interested in determining whether the mean household income is higher in our county. We randomly sample 25 households and determine that the mean income is $65,000. Does this sample provide strong evidence that the mean income is lower in our county?

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orchestra answered 1 year ago

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