Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis? An automotive manufacturer claims that the standard deviation for the gas mileage of one of the vehicles it manufactures is at most 3.6 miles per gallon. Does the claim represent the null hypothesis or the alternative hypothesis? Since the claim a statement of equality, it represents the hypothesis. (a) How should you interpret a decision that rejects the null hypothesis? There is evidence to the claim that the standard deviation for the gas mileage of one of the vehicles it manufactures is at most 3.6 miles per gallon. (b) How should you interpret a decision that fails to reject the null hypothesis? There is evidence to the claim that the standard deviation for the gas mileage of one of the vehicles it manufactures is at most 3.6 miles per gallon.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis?
An automotive manufacturer claims that the standard deviation for the gas mileage of one of the vehicles it manufactures is at most 3.6 miles per gallon.
(…)
Does the claim represent the null hypothesis or the alternative hypothesis?
Since the claim
a statement of equality, it represents the
hypothesis.
(a) How should you interpret a decision that rejects the null hypothesis?
There is
▼ evidence to
the claim that the standard deviation for the gas mileage of one of the vehicles it manufactures is at most 3.6 miles per gallon.
(b) How should you interpret a decision that fails to reject the null hypothesis?
There is
evidence to
▼the claim that the standard deviation for the gas mileage of one of the vehicles it manufactures is at most 3.6 miles per gallon.
Transcribed Image Text:Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis? An automotive manufacturer claims that the standard deviation for the gas mileage of one of the vehicles it manufactures is at most 3.6 miles per gallon. (…) Does the claim represent the null hypothesis or the alternative hypothesis? Since the claim a statement of equality, it represents the hypothesis. (a) How should you interpret a decision that rejects the null hypothesis? There is ▼ evidence to the claim that the standard deviation for the gas mileage of one of the vehicles it manufactures is at most 3.6 miles per gallon. (b) How should you interpret a decision that fails to reject the null hypothesis? There is evidence to ▼the claim that the standard deviation for the gas mileage of one of the vehicles it manufactures is at most 3.6 miles per gallon.
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