ercise 5.32). Use these statistics to calculate a 98% confidence interval for the erage highway mileage of manual and automatic cars, and interpret this interval in the conte a. Hwy MPG, Automatic 22.92 Hwy MPG, Manual 27.88 Mean SD 5.29 5.01 26 26 in 35 25

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
22.92
5.29
26
Hwy MPG, Manual
27.88
5.01
26
Mean
SD
357
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:
0 We can be 98% confident that the difference in average highway mileage of manual and automatic
cars is contained within our confidence interval
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
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 yes, since highway mileage cannot be negative
yes, since O is not contained within our confidence interval
no, since 0 is not contained within our confidence interval
no, since negative highway mileage doesn't make sense
Transcribed Image Text: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 22.92 5.29 26 Hwy MPG, Manual 27.88 5.01 26 Mean SD 357 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: 0 We can be 98% confident that the difference in average highway mileage of manual and automatic cars is contained within our confidence interval 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 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 yes, since highway mileage cannot be negative yes, since O is not contained within our confidence interval no, since 0 is not contained within our confidence interval no, since negative highway mileage doesn't make sense
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