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 the null hypothesis? An automotive manufacturer claims that the standard deviation for the gas mileage of one of the vehicles it manufactures is at least 3.7 miles per gallon. CITS 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 least 3.7 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 least 3.7 miles per gallon.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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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 least 3.7 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 least 3.7 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 least 3.7 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 least 3.7 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 least 3.7 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 least 3.7 miles per gallon.
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