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 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 economyaverage miles per gallonMPG 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 fuel economy standards. The average MPG from a random sample of vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these randomly sampled vehicles. The Vehicle Number, Type, Vehicle Weight, Average MPG Fuel Tank SizeGallons Engine SizeLiters and Meet or Not Meet Current Standards data were collected for these vehicles.
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Part
Agency leadership decides to run a One SampleT hypothesis test to determine if the mean vehicle weight of all passenger vehicles currently on the road is significantly different than pounds. Assume that all necessary Central Limit Theorem conditions for a OneSample Ttest have been met.
Part
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
pounds.
Part
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
pounds.
Part
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
What is the pvalue for this hypothesis test?
The pvalue is enter your response here.
Round to three decimal places as needed.
Part
What would you conclude based on an alphaalpha equalslevel
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
pounds due to the pvalue being
less
greater
than the alphaalpha level.
Part
Based upon your hypothesis test, was the observed outcome unusual? If so how unusual was the outcome?
Answer all above questions please