A Major US

question 62

Essay

A major U.S.oil company has developed two blends of gasoline.Managers are interested in determining whether a difference in mean gasoline mileage will be obtained from using the two blends.As part of their study,they have decided to run a test using the Chevrolet Impala automobile with automatic transmissions.They selected a random sample of 100 Impalas using Blend 1 and another 100 Impalas using Blend 2.Each car was first emptied of all the gasoline in its tank and then filled with the designated blend of the new gasoline.The car was then driven 200 miles on a specified route involving both city and highway roads.The cars were then filled and the actual miles per gallon were recorded.The following summary data were recorded: Based on the sample data,using a 0.05 level of significance,what conclusion should the company reach about whether the population mean mpg is the same or different for the two blends? Use the test statistic approach to test the null hypothesis.

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Definitions:

Randomly Assigned

Random assignment is a method used in experiments to place participants into different groups using randomization, which helps ensure that each group is similar at the start of the experiment.

Experimental Group

In an experiment, the group that is exposed to the treatment, that is, to one version of the independent variable.

Independent Variable

A factor in a scientific study that is manipulated or changed to observe its effects on the dependent variable.

Cause-Effect Relationships

The principle stating that every effect in the natural world has a specific cause, and every cause leads to a specific effect.