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Name: A group is interested in seeing if the mean gas mileages from two diff
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Description: A group is interested in seeing if the mean gas mileages from two different brands of gasoline are the same. To test this, they sampled 23 cars that used Type A gas and 17 cars that used Type B gas. From these samples, they calculated the following d

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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A group is interested in seeing if the mean gas mileages from two different brands of gasoline are the same. To test this, they sampled 23 cars that used Type A gas and 17 cars that used Type B gas. From these samples, they calculated the following descriptive statistics (in terms of miles per gallon):

	Type A Gas	Type B Gas
?n	23	17
?⎯⎯⎯x¯	29	29
?s	4	5

(Assume the samples are independent and that the populations are normally distributed with unknown mean and standard deviation)

(a) Is there significant evidence to suggest that there is a difference in gas milage? Test this at the ?=0.05α=0.05 significance level. State your conclusions regarding H₀

(b) Calculate a 95% confidence interval for the true difference of the means. State your conclusions after calculating the interval.

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