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An Automobile Manufacturer Wishes to Test That Claim That Synthetic

question 89

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An automobile manufacturer wishes to test that claim that synthetic motor oil can improv mileage (in miles per gallon, or mpg) . The table below shows the gas mileages, in mpg, o that used synthetic motor oil. The table also shows the gas mileages in mpg of six cars tha using conventional motor oil (the controls) .
 Synthetic: 242827282626 Control: 262525272727\begin{array}{ccccccc}\hline \text { Synthetic: } & 24 & 28 & 27 & 28 & 26 & 26 \\\text { Control: } & 26 & 25 & 25 & 27 & 27 & 27 \\\hline\end{array}

Can you conclude that the mean gas mileage for cars using synthetic motor oil is more the the mean for the controls? Use the α=0.05\alpha = 0.05 level of significance. as


Definitions:

Connective

A symbol or word used in logic to connect propositions or sentences, such as "and", "or", "if...then".

Symbolic Form

The representation of logical propositions using symbolic notation to express logical relationships.

Components

The constituent parts or elements that make up a larger system or compound.

Connective

In logic, a word or phrase that connects propositions in a compound sentence or indicates the relationship between them, such as "and", "or", "if...then".

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