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Name: Assume a researcher has found a new type of gasoline that improves the
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Description: Assume a researcher has found a new type of gasoline that improves the gas mileage (MPG). He needs to figure out the effect of the new gasoline type with respect to the regular type. Suppose he selected 22 cars randomly and expected to carry out a co

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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Assume a researcher has found a new type of gasoline that improves the gas mileage (MPG). He needs to figure out the effect of the new gasoline type with respect to the regular type. Suppose he selected 22 cars randomly and expected to carry out a completely randomized design by taking 10 cars for new gasoline type and other 12 cars for regular gasoline type. Assume MPG is normally distributed for both types of gasoline.

Type

Sample Mean

( )

Sample standard deviation (s)

New Gasoline

Regular Gasoline

Assume that you need to conduct a hypothesis test to claim that the mean MPG of new gasoline is different than the mean MPG of regular.

What is the p-value of the test?

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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