Question

The number of ounces of water a person drinks per day is normally distributed with a standard deviation of 15 ounces. If Sean drinks 88 ounces per day with a z-score of 1.6, what is the mean ounces a day of water that a person drinks?

(QUESTION IS WORTH 25 POINTS BECAUSE OF THE URGENCY)

Answer 1

The person drinks a mean of 64 ounces a day

Explanation:

To calculate this, we will need to use the z-score formula.

Mathematically;

z-score = (x - mean)/SD

Here, x = 88 ounces , mean = ?, z-score = 1.6 and SD = 15 ounces

We plug these values into the equation

1.6 = (88- mean)/15

15 * 1.6 = 88 - mean

24 = 88 - mean

mean = 88 - 24

mean = 64 ounces