On average, an airplane produces 15 kg of carbon dioxide (CO₂) per kilometre. A big airline with a very large fleet of planes hopes to keep emissions down and sets a goal of attaining a fleet average of at most 11 kg per kilometre. To see if the goal is being met, they check the CO₂ emissions for 40 trips chosen at random, finding a mean of 12 kg per kilometre, with a standard deviation of 2.5 kg per kilometre. Is there strong evidence that they have failed to attain their CO₂ emission goal at a significance level of 5%? Conduct the appropriate hypothesis test. i. State the null and alternative hypotheses. Explain the notation you use. ii. Calculate the test statistic. iii. Compute the p-value. iv. State the conclusions.
On average, an airplane produces 15 kg of carbon dioxide (CO₂) per kilometre. A big airline with a very large fleet of planes hopes to keep emissions down and sets a goal of attaining a fleet average of at most 11 kg per kilometre. To see if the goal is being met, they check the CO₂ emissions for 40 trips chosen at random, finding a mean of 12 kg per kilometre, with a standard deviation of 2.5 kg per kilometre. Is there strong evidence that they have failed to attain their CO₂ emission goal at a significance level of 5%? Conduct the appropriate hypothesis test. i. State the null and alternative hypotheses. Explain the notation you use. ii. Calculate the test statistic. iii. Compute the p-value. iv. State the conclusions.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(b) On average, an airplane produces 15 kg of carbon dioxide (CO₂) per kilometre.
A big airline with a very large fleet of planes hopes to keep emissions down
and sets a goal of attaining a fleet average of at most 11 kg per kilometre. To
see if the goal is being met, they check the CO₂ emissions for 40 trips chosen
at random, finding a mean of 12 kg per kilometre, with a standard deviation
of 2.5 kg per kilometre. Is there strong evidence that they have failed to attain
their CO₂ emission goal at a significance level of 5%? Conduct the appropriate
hypothesis test.
i. State the null and alternative hypotheses. Explain the notation you use.
ii. Calculate the test statistic.
iii. Compute the p-value.
iv. State the conclusions.
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