Suppose that the distribution of weekly water usage for single-family homes in a particular city is approximately normal. The mean is 1400 gallons, and the standard deviation is 300 gallons.
a. What is the z-score for 800 gallons?
b. What is the approximate value of the highest 15th percentile?
c. What is the 7-score for 1665 gallons?
d. What is the approximate value of the 14th percentile?
e. What is the percentile for 749 gallons? f. What is the approximate value of the 50th percentile?