# Analysis of the National Health and Nutrition Survey

Based on data from the National Health and Nutrition Examination Survey assume that the a height of female college students are normally distributed with a MEAN OF 64 INCHES and standard deviation of 2.5 inches.

Find the probability that a female student randomly selected from the above population will have a height equal to or less 66.15 inches.

Find the probability that a female student randomly selected from the above population will have a height equal to greater than 63 inches.

Find the probability that a female student randomly selected from the above population will have a height between 64 inches and 66 inches.

Based on data from National Health and Nutrition examination survey that the weights of men are normally distributed with a MEANS 170 LBS AND STANDARD DEVIATION of 30lbs.

Find the probability that the average weight 9 men randomly selected from the above population will have a weight equal to or less than 185 lbs.

Find the probability that the average weight 9 men randomly selected from the above population will have a weight equal to or greater than 185 lbs.

Find the probability that the average weight of nine men will exceed the maximum average weight of a Hot Air Ballon they rented that has a maximum average weight capacity of 200 lbs.

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#### Solution Preview

Based on data from the National Health and Nutrition examination Survey assume that the a height of female college students are normally distributed with a MEANS OF 64 INCHES and standard deviation of 2.5 inches.

Find the probability that a female student randomly selected from the above population will have a height equal to or less 66.15 inches.

Ans: Let x be the height of female college students, then z=(x-mu)/sd=(66.15-64)/2.5=0.86. So P(X<=66.15)=P(Z<=0.86)=0.8051 by standard normal table

Find the probability that a female student ...

#### Solution Summary

The solution gives detailed steps on calculating probabilities under various conditions for the normally distributed data. All the formula and calcuations are shown and explained.