Question

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
- 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.

- 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

Answer #1

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...

he 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...

The table provides summary statistics on highway fuel economy of
cars manufactured in a certain year.
Hwy MPG
Automatic
Manual
Mean
22.92
28.87
SD
5.28
5.02
n
26
26
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. (Round your answers to two decimal places.)
We are 98% confident that on the highway cars with manual
transmissions get...

Fuel Efficiency of Manual and Automatic
Cars
Each year the US Environmental Protection Agency (EPA) releases
fuel economy data on cars manufactured in that year. Below are
summary statistics on fuel efficiency (in miles/gallon) from random
samples of cars with manual and automatic transmissions
manufactured in 2012. Do these data provide strong evidence of a
difference between the average fuel efficiency of cars with manual
and automatic transmissions in terms of their average city mileage?
Assume that conditions for inference...

In analyzing the city and highway fuel efficiencies of many cars
and trucks, the mean difference in fuel efficiencies for the
611vehicles was 7.38 mpg with a standard deviation of 2.51
mpg. Find a 95% confidence interval for this difference and
interpret it in context. Round to 2 decimals.

In analyzing the city and highway fuel efficiencies of many cars
and trucks, the mean difference in fuel efficiencies for the 631
vehicles was 7.49 mpg with a standard deviation of 2.53mpg. Find a
95% confidence interval for this difference and interpret it in
context.
The 95% confidence interval for the difference in fuel
efficiencies is left parenthesis nothing comma nothing right
parenthesis, mpg.
(Round to two decimal places as needed.)

5.22 High School and beyond, Part II: We considered the
differences between the reading and writing scores of a random
sample of 200 students who took the High School and Beyond Survey
in Exercise 5.21. The mean and standard deviation of the
differences are x̄read-write = -0.545 and 8.887 points
respectively. (a) Calculate a 95% confidence interval for the
average difference between the reading and writing scores of all
students.
lower bound: points (please round to two decimal places)
upper...

5.22 High School and beyond, Part II: We
considered the differences between the reading and writing scores
of a random sample of 200 students who took the High School and
Beyond Survey in Exercise 5.21. The mean and standard deviation of
the differences are x̄read-write = -0.545 and 8.887
points respectively.
(a) Calculate a 95% confidence interval for the average difference
between the reading and writing scores of all students.
lower bound: points (please round to two decimal
places)
upper...

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