Undergraduate

A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel

A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile manufacturers, and consumers, are highly interested in what the agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the vehicle's fuel economy(average miles per gallon(MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The agency's research department recently collected data for analysis in order to support the agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG, Fuel Tank Size(Gallons), Engine Size(Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles.
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Part 1
Agency leadership decides to run a One Sample-T hypothesis test to determine if the mean vehicle weight of all passenger vehicles currently on the road is significantly different than 2600 pounds. Assume that all necessary Central Limit Theorem conditions for a One-Sample T-test have been met.
Part 2
What is the appropriate null hypothesis in this case?
The mean vehicle weight of all passenger vehicles currently on the road is
equal to
not equal to
greater than
less than
2600 pounds.
Part 3
What is the appropriate alternative hypothesis in this case?
The mean vehicle weight of all passenger vehicles currently on the road is
greater than
equal to
not equal to
less than
2600 pounds.
Part 4
What is the test statistic for this hypothesis test?
The test statistic is enter your response here.
(Round to two decimal places as needed.)
Part 5
What is the p-value for this hypothesis test?
The p-value is enter your response here.
(Round to three decimal places as needed.)
Part 6
What would you conclude based on an alpha\alpha equals=0.05level?
We
reject
fail to reject
the null hypothesis and
accept
do not accept
the alternative hypothesis since there
is not
is
sufficient evidence that the mean vehicle weight of all passenger vehicles currently on the road is
equal to
not equal to
2600 pounds due to the p-value being
less
greater
than the alpha\alpha level.
Part 7
Based upon your hypothesis test, was the observed outcome unusual? If so, how unusual was the outcome?
Answer all above questions please

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