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Name: 11) An automobile manufacturer advertises that one of its models of ca
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Description: 11) An automobile manufacturer advertises that one of its models of cars achieves 28 miles per gallon for highway driving. A consumer advocacy group claims that the advertisement is incorrect and selects a random sample of 32 nonprofessional drivers

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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11) An automobile manufacturer advertises that one of its models of cars achieves 28 miles per gallon for highway driving. A consumer advocacy group claims that the advertisement is incorrect and selects a random sample of 32 nonprofessional drivers and each one drives the car from West Windsor, NJ to Washington, DC. The mean miles per gallon was determined to be 27.3 mpg with a standard deviation of 2.69. Assuming fuel efficiency is normally distributed under these circumstances, test the advocacy’s claim at  = 0.05. (Show all steps.)

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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