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An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry out a fuel efficiency test. Six nonprofessional drivers were selected, and each one drove a car from Phoenix to Los Angeles. The resulting fuel efficiencies (in miles per gallon) are given below. 27.3 29.2 31.1 28.3 30.2 29.7 Assuming that fuel efficiency is normally distributed under these circumstances, do the data contradict the claim that true average fuel efficiency is (at least) 30 mpg? Test the appropriate hypotheses at significance level 0.05. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = State the conclusion in the context of the problem. O Reject Ho. The data provide convincing evidence contradicting the manufacturers claim. O Fail to reject Ho. The data provide convincing evidence contradicting the manufacturers claim. O Reject Ho. The data do not provide convincing evidence contradicting the manufacturers claim. O Fail to reject Ho. The data do not provide convincing evidence contradicting the manufacturers claim.

An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry out a fuel efficiency test. Six nonprofessional drivers were selected, and each one drove a car from Phoenix to Los Angeles. The resulting fuel efficiencies (in miles per gallon) are given below. 27.3 29.2 31.1 28.3 30.2 29.7 Assuming that fuel efficiency is normally distributed under these circumstances, do the data contradict the claim that true average fuel efficiency is (at least) 30 mpg? Test the appropriate hypotheses at significance level 0.05. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = State the conclusion in the context of the problem. O Reject Ho. The data provide convincing evidence contradicting the manufacturers claim. O Fail to reject Ho. The data provide convincing evidence contradicting the manufacturers claim. O Reject Ho. The data do not provide convincing evidence contradicting the manufacturers claim. O Fail to reject Ho. The data do not provide convincing evidence contradicting the manufacturers claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 22PFA
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An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry out a fuel efficiency test. Six nonprofessional drivers were selected, and each one drove a car from Phoenix to Los Angeles. The resulting fuel efficiencies (in miles per gallon) are given below. 27.3 29.2 31.1 28.3 30.2 29.7 Assuming that fuel efficiency is normally distributed under these circumstances, do the data contradict the claim that true average fuel efficiency is (at least) 30 mpg? Test the appropriate hypotheses at significance level 0.05. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = State the conclusion in the context of the problem. Reject Ho. The data provide convincing evidence contradicting the manufacturers claim. Fail to reject Ho. The data provide convincing evidence contradicting the manufacturers claim. Reject Ho. The data do not provide convincing evidence contradicting the manufacturers claim. O Fail to reject Ho. The data do not provide convincing evidence contradicting the manufacturers claim.
Transcribed Image Text:An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry out a fuel efficiency test. Six nonprofessional drivers were selected, and each one drove a car from Phoenix to Los Angeles. The resulting fuel efficiencies (in miles per gallon) are given below. 27.3 29.2 31.1 28.3 30.2 29.7 Assuming that fuel efficiency is normally distributed under these circumstances, do the data contradict the claim that true average fuel efficiency is (at least) 30 mpg? Test the appropriate hypotheses at significance level 0.05. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = State the conclusion in the context of the problem. Reject Ho. The data provide convincing evidence contradicting the manufacturers claim. Fail to reject Ho. The data provide convincing evidence contradicting the manufacturers claim. Reject Ho. The data do not provide convincing evidence contradicting the manufacturers claim. O Fail to reject Ho. The data do not provide convincing evidence contradicting the manufacturers claim.
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