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A recent survey reported that the average person consumes 48 ounces of water per

ID: 3297251 • Letter: A

Question

A recent survey reported that the average person consumes 48 ounces of water per day. Assume the standard deviation of water consumption is 12.8 ounces per day and the consumption rate follows a normal probability distribution.

a. What is the z value for a person who drinks 64 ounces of water per day? Based on the z value, hoe does this person compare to the national average?

b. What is the z value for a person who drinks 32 ounces of water per day? Based on the z value, how does this person compare to the nationa average?

Explanation / Answer

a) z value = (64 - 48)/12.8 = 1.25

Since z value is positive, this person drinks more water than national average.

b) z value = (32 - 48)/12.5 = -1.28

Since z value is negative, this person drinks less water than national average.

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