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, ManualMean22.9227.88SD5.295.01n262635-25-15-automaticmanualHwy MPGlower 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:O We can be 98% confident that our confidence interval contains the difference in average highwaymileage of the cars in our sample is contained within our confidence intervalO We can be 98% confident that the difference in average highway mileage of manual and automaticcars is contained within our confidence interval98% of manual and automatic cars will have a difference in highway mileage that falls within ourconfidence intervalDoes your confidence interval provide significant evidence for a difference in the highway fuel efficiency ofautomatic versus manual cars? Explain.O no, since 0 is not contained within our confidence intervalyes, since highway mileage cannot be negativeyes, since 0 is not contained within our confidence intervalOno, since negative highway mileage doesn't make sense

Given data, Automatic Manual Mean 22.92 27.88 SD 5.29 5.01 n 26 26…

Answered: The table provides summary statistics…

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
35-
25-
15-
automatic
manual
Hwy MPG
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:
O 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
O 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
Does your confidence interval provide significant evidence for a difference in the highway fuel efficiency of
automatic versus manual cars? Explain.
O no, since 0 is not contained within our confidence interval
yes, since highway mileage cannot be negative
yes, since 0 is not contained within our confidence interval
Ono, since negative highway mileage doesn't make sense

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