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. see attached chart 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 our confidence interval contains the difference in average highway mileage of the cars in our sample is contained within our confidence interval 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

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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.

see attached chart

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 our confidence interval contains the difference in average highway mileage of the cars in our sample is contained within our confidence interval
  • 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.

  • no, since 0 is not contained within our confidence interval
  • yes, since 0 is not contained within our confidence interval
  • yes, since highway mileage cannot be negative
  • no, since negative highway mileage doesn't make sense
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
26
26
35 -
25
15
automatic
manual
Hwy MPG
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 Hwy MPG, Manual Mean 22.92 27.88 SD 5.29 5.01 26 26 35 - 25 15 automatic manual Hwy MPG
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