female height question

Statistics
Tutor: None Selected Time limit: 1 Day

according to a recent report from the U.S. national center for Health statistics, females between 25 and 34 years of age have a bell-shaped distribution for height, with mean of 65 inches and a standard deviation of 3.5 inches

a- give an interval within which about 95% of the height falls

b- what is the height for a female who is 3 standard deviations below the mean? would this be a rather unusual height?why?

Jul 3rd, 2015

Thank you for the opportunity to help you with your question!

According to the Empirical Rule, 95% of the scores in a bell-shaped distribution fall within two standard deviation of the mean.

95% of the scores fall within the standard deviation hence

Jul 3rd, 2015

Okay but that doesn't answer number 2 about the unusal height

Jul 3rd, 2015

and what is the interval

Jul 3rd, 2015

give me one minute

Jul 3rd, 2015

According to the Empirical Rule, 95% of the scores in a bell-shaped distribution fall within two standard deviation of the mean.

Jul 3rd, 2015

b. The height for a woman who is three standard deviations below the mean is 54.5.

Jul 3rd, 2015

Now Im confused. if the response you gave for question a is that how can the response for question b be the same

Jul 3rd, 2015

interval 58 to 72

reason  This is on the cusp of what would be considered an outlier according to the z-score criterion. Scores that are beyond three standard deviations from the mean are considered to be potential outliers. So, yes, this height is bordering on unusual

Jul 3rd, 2015

so does the 54.5 height make it unusual?

Jul 3rd, 2015

so last one is part a interval and part b reason is it clear

Jul 3rd, 2015

okay thanks


Jul 3rd, 2015

welcome

Jul 3rd, 2015

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