Question

**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 are satisfied.

City MPG, Automatic | City MPG, Manual | |
---|---|---|

Mean | 16.12 | 19.85 |

SD | 3.58 | 4.51 |

n | 26 | 26 |

The hypotheses for this test are:

- Ho: μ
_{automatic}= μ_{manual}

Ha: μ_{automatic}≠ μ_{manual}

The test statistic is: *-3.30*

The p-value is: *(please round to four decimal
places)*

Interpret the result of the hypothesis test in the context of the problem:

- The data provide sufficient evidence that there is no difference between the average fuel efficiency of manual and automatic cars in terms of their average city mileage (I'm able to get everything but the p-value. I keep getting .0018. I'm not sure what I am doing wrong)

Answer #1

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...

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...

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...

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...

To test whether acetone improves fuel efficiency in passenger
cars, 10 people were randomly selected. Each person brings his/her
car to a gas station and fills it with gas. The car’s mileage is
recorded. When the car is nearly empty, the person takes the car
back to the gas station and refills it. Mileage and miles per
gallon are recorded. Acetone is added to the tank. When the tank is
nearly empty, the person returns to the gas station and...

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