What percentage of the women in the researcher's sample would you expect to have a height of 68.5 inches or less?
Heights of adult women in the United States are normally distributed with a population mean of = 63.5 inches and a population standard deviation of = 2.5. A medical researcher is planning to select a large random sample of adult women to participate in a future study.
Heights of adult women in the United States are normally distributed with a population mean of = 63.5 inches and a population standard deviation of = 2.5. A medical researcher is planning to select a large random sample of adult women to participate in a future study.
1 Answer
97.5%
Explanation:
68.5 is within two standard deviations of the mean, i.e.,
In a standard bell curve, 95% of instances will be within two standard deviations from the mean. That represents the middle section of the bell curve, but we also want to represent the far left.
We can just add those percentages (See image, courtesy of https://magoosh.com/mat/miller-analogies-test-bell-curve/ below) to 95%
and we have obtained our answer.
