The new science and math building on campus has four elevators each designed to

ID: 3054791 • Letter: T

Question

The new science and math building on campus has four elevators each designed to carry a maximum of 8 people. A building safety study has found that the combined weight of 8 people can be modeled by a normal distribution with mean of 1400 pounds and a standard deviation of 120 pounds.

Using the figure of a standard normal distribution, is the following statement valid or not valid?

We would expect the total weight of 8 people to be between 1250 and 1550 pounds more than 75% of the time.

valid

not valid

0.7887 0.1056 0.1056 1.25 1.25

Explanation / Answer

Yes statement is valid,from the above figure we can say that total weight of 8 people to be between 1250 and 1550 pounds more than 75%of the time,where 1250 is nothing but the standard deviation-1.25*standard deviation and 1550=standard deviation+1.25*standard deviation.since the distribution is Normal,we can say that almost 78% of data lies between 1.25+- standard deviation.

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The new science and math building on campus has four elevators each designed to

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