Question

Difficulty: Very hardEvaluating Argument Validity and Test of Variance

A commercial airline plans to replace its current regional fleet with newer aircraft models that consume 25 percent less fuel per seat-mile, maintaining that this fleet transition will lower the airline's overall annual operating expenses. Consider the following assertion: 'Determining whether global jet fuel prices will rise or fall over the next five years represents a valid application of the Test of Variance to evaluate the argument's conclusion.' Is this assertion true or false?

Answer: Answer

Answer

The assertion is False. Evaluating jet fuel price trends fails the Test of Variance because opposite extreme outcomes (fuel prices rising vs. fuel prices falling) both result in lower fuel expenditures for the new fleet compared to the current fleet, rather than producing opposing impacts on the conclusion's validity.
The statement is false because applying opposite extremes to global fuel price movements (prices rising vs. prices falling) fails to produce opposite logical effects on the conclusion. In both extreme scenarios, an aircraft fleet that uses 25% less fuel per seat-mile will incur lower fuel costs than the existing fleet, thereby failing to test whether the cost-reduction plan succeeds or fails.

Step-by-Step Solution

1
Analyze the argument's premise and conclusion
Premise: The new aircraft consume 25% less fuel per seat-mile than the current fleet. Conclusion: Replacing the current fleet with the new aircraft will lower overall annual operating expenses relative to keeping the current fleet.
Evaluating argument validity requires isolating the comparative claim being made between the proposed plan and the status quo.
2
Define the standard for the Test of Variance
Under the Test of Variance, a question validly evaluates an argument if and only if one extreme response strongly strengthens the conclusion and the opposite extreme response strongly weakens it.
The Test of Variance is the formal method used in Critical Reasoning to test whether an information gap is decisive to an argument's structural validity.
3
Test opposite extreme outcomes for global fuel price trends
Extreme 1 (Fuel prices double): The 25% fuel efficiency yields even larger absolute dollar savings for the new fleet over the old fleet (strengthens). Extreme 2 (Fuel prices drop by 80%): The new fleet still spends 25% less on fuel than the old fleet, maintaining lower operating costs relative to keeping the old fleet (still strengthens).
Evaluating extreme values demonstrates whether the variable flips the logical standing of the conclusion.
4
Determine the truth value of the assertion
Because both extreme answers lead to the same logical outcome (the new fleet remains cheaper to operate than the old fleet), testing fuel price trends does not produce opposite impacts. Consequently, claiming that this variable represents a valid application of the Test of Variance is False.
Failing to produce opposing logical effects violates the core requirement of the Test of Variance.

Key Concept

The Test of Variance requires that opposite extreme answers to an evaluative question yield opposite logical impacts on an argument's conclusion. Variables that shift baseline and proposed options proportionally fail this test because they do not alter the relative validity of the argument.
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