Suppose the number of gallons of gasoline per day used by a car is normally distributed with a mean of 2.2 gallons and a standard deviation of 1.2 gallons. What is the difference in gallons per day used by a car with a z-score of 3 and another car that has a z-score of 0? 1.2 2.6 3.6 4.6

Question

Kingston Donaldson

Mathematics

4 March, 23:15

Suppose the number of gallons of gasoline per day used by a car is normally distributed with a mean of 2.2 gallons and a standard deviation of 1.2 gallons. What is the difference in gallons per day used by a car with a z-score of 3 and another car that has a z-score of 0? 1.2 2.6 3.6 4.6

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Tristan Frost · Answer 1

The difference between the two z-scores is 3 - 0 = 3 standard deviations. One standard deviation represents 1.2 gallons per day, so the difference is 3 (1.2) = 3.6 gallons per day.