MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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Transcribed Image Text: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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