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Name: An automotive company used two different drivers to test the fuel econ
Uploaded: 2024-03-20T07:06:27.000Z
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Description: An automotive company used two different drivers to test the fuel economy of its latest crossover model. Each driver tested the same 20 vehicles from the factory. When the supervisor reviewed the data, she thought it looked like Driver A had differen

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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An automotive company used two different drivers to test the fuel economy of its latest crossover model. Each driver tested the same 20 vehicles from the factory. When the supervisor reviewed the data, she thought it looked like Driver A had different fuel economies than Driver B on average for the different vehicles and decided to test the data. To test the data, she first separated the data into pairs, with each car tested as a pair. The data is given below, with the fuel economy for each car given in miles per gallon. Assume that both populations are normally distributed.

Use Excel to test if the true mean difference between Driver A and Driver B is significantly different from zero, where α=0.05, where each difference is calculated as Driver A−Driver B. Identify the t-test statistic, rounding to two decimal places, and the p-value, rounding to three decimal places.

Pair

DriverA

DriverB

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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