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Two Major Automobile Manufacturers Have Produced Compact Cars with Engines

question 52

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Two major automobile manufacturers have produced compact cars with engines of the same size.We are interested in determining whether or not there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance.The following data (in miles per gallon) show the results of the test.Assume the population of differences is normally distributed.  Driver Manufacturer A  Manufacturer B 1322822722326274262452524629257312882527\begin{array}{lll}\text { Driver} & \text { Manufacturer A } & \text { Manufacturer B } \\1 & 32 & 28 \\2 & 27 & 22 \\3 & 26 & 27 \\4 & 26 & 24 \\5 & 25 & 24 \\6 & 29 & 25 \\7 & 31 & 28 \\8 & 25 & 27\end{array}
The test statistic is


Definitions:

Limiting Abiotic Factors

Non-living environmental elements that restrict the growth, distribution, or abundance of organisms, such as temperature, water availability, and nutrients.

Biotic Potential

The upper limit of reproductive ability for an organism when conditions in the environment are perfect.

Environmental Resistance

The sum of environmental factors like predation, competition, and disease that limit the growth of populations and maintain ecosystem balance.

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