The table provides summary statistics on highway fuel economy of cars manufactured in 2012 (from Exercise 5.32). Use these statistics to calculate a 98% confidence interval for the difference between average highway mileage of manual and automatic cars, and interpret this interval in the context of the data. Hwy MPG, AutomaticHwy MPG, ManualMean22.9227.88SD5.295.01n2626lower bound: mpg (please round to two decimal places)upper bound: mpg (please round to two decimal places)Interpret your confidence interval in the context of the problem:We can be 98% confident that the difference in average highway mileage of manual and automatic cars is contained within our confidence interval98% of manual and automatic cars will have a difference in highway mileage that falls within our confidence intervalWe can be 98% confident that our confidence interval contains the difference in average highway mileage of the cars in our sample is contained within our confidence intervalDoes your confidence interval provide significant evidence for a difference in the highway fuel efficiency of automatic versus manual cars? Explain.no, since 0 is not contained within our confidence intervalno, since negative highway mileage doesn't make senseyes, since highway mileage cannot be negativeyes, since 0 is not contained within our confidence interval

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Description: The table provides summary statistics on highway fuel economy of cars manufactured in 2012 (from Exercise 5.32). Use these statistics to calculate a 98% confidence interval for the difference between average highway mileage of manual and automatic ca

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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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The table provides summary statistics on highway fuel economy of cars manufactured in 2012 (from Exercise 5.32). Use these statistics to calculate a 98% confidence interval for the difference between average highway mileage of manual and automatic cars, and interpret this interval in the context of the data.

	Hwy MPG, Automatic	Hwy MPG, Manual
Mean	22.92	27.88
SD	5.29	5.01
n	26	26

lower bound: mpg (please round to two decimal places)
upper bound: mpg (please round to two decimal places)
Interpret your confidence interval in the context of the problem:

We can be 98% confident that the difference in average highway mileage of manual and automatic cars is contained within our confidence interval
98% of manual and automatic cars will have a difference in highway mileage that falls within our confidence interval
We can be 98% confident that our confidence interval contains the difference in average highway mileage of the cars in our sample is contained within our confidence interval

Does your confidence interval provide significant evidence for a difference in the highway fuel efficiency of automatic versus manual cars? Explain.

no, since 0 is not contained within our confidence interval
no, since negative highway mileage doesn't make sense
yes, since highway mileage cannot be negative
yes, since 0 is not contained within our confidence interval

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