Answered: Two new subcompact cars are tested to…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Two new subcompact cars are tested to see if they get the same mileage. Fifteen Synglets were tested and they averaged 42.75 mpg with s = 1.57 mpg. Eight Gustos were also tested, averaging 40.33 mpg with s = 3.54 mpg. Assume that the samples were taken from normally distributed populations. Test the hypothesis at the 0.05 level of significance that these cars get the same mileage.

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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