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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.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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