Answered: Gasoline Many drivers of cars that can…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Gasoline Many drivers of cars that can run on regular
gas actually buy premium in the belief that they will get
better gas mileage. To test that belief, we use 10 cars
from a company fleet in which all the cars run on regular
gas. Each car is filled first with either regular or premium
gasoline, decided by a coin toss, and the mileage for that
tankful is recorded. Then the mileage is recorded again

for the same cars for a tankful of the other kind of gaso-
line. We don’t let the drivers know about this experiment.

Here are the results (miles per gallon):

a) Is there evidence that cars get significantly better fuel
economy with premium gasoline?

b) How big might that difference be? Check a 90% confi-
dence interval.

c) Even if the difference is significant, why might the
company choose to stick with regular gasoline?
d) Suppose you had done a “bad thing.” (We’re sure you
didn’t.) Suppose you had mistakenly treated these
data as two independent samples instead of matched
pairs. What would the significance test have found?
Carefully explain why the results are so different.

Car # 1 2 3 4 5 6 7 8 9 10
Regular 16 20 21 22 23 22 27 25 27 28
Premium 19 22 24 24 25 25 26 26 28 32

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