Question 751623: According to data taken from the NHANES study, the average height for men is about 5’10” with a standard deviation of 3.5 inches. For women, the average is 5’5” with a standard deviation of 3.5 inches. Calculate the z-score for your height. What does the sign of the z-score tell us?
2. Using the Standard Normal Probability Table, or software technology, find the percentage of women/men shorter than you are. Use the appropriate formula. My height is 5'4"
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! According to data taken from the NHANES study, the average height for men is about 5’10” with a standard deviation of 3.5 inches.
For women, the average is 5’5” with a standard deviation of 3.5 inches. Calculate the z-score for your height.
My height is 5'11" = 71 inches
z(71) = (71-70)/3.5 = 0.2857
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What does the sign of the z-score tell us?
My height is 0.2857 standard deviations above the mean.
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2. Using the Standard Normal Probability Table, or software technology, find the percentage of women/men shorter than you are. Use the appropriate formula. My height is 5'4"
z(64) = (64-70)/3.5 = -1.7143
P(x < 64) = P(z < -1.7143 = normalcdf(-100,-1.7143) = 0.0432
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Cheers,
Stan H.
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