Question 823940: In a sample of seven cars, each car was tested for nitrogen-oxide emissions ( in grams per mile) and the following results were obtained: 0.16, 0.19, 0.05, 0.08, 0.18, 0.09, 0.05. Assuming that this sample is representative of the cars in use, construct a 98% confidence interval estimate of the mean amount of nitrogen oxide emissions for all cars. If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, can we safely conclude that this requirement is being met? What is the confidence interval estimate of the mean amount of nitrogen-oxide emissions for all cars?
__ g/mi < u < __ g/mi ?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a sample of seven cars, each car was tested for nitrogen-oxide emissions ( in grams per mile) and the following results were obtained: 0.16, 0.19, 0.05, 0.08, 0.18, 0.09, 0.05. Assuming that this sample is representative of the cars in use, construct a 98% confidence interval estimate of the mean amount of nitrogen oxide emissions for all cars. What is the confidence interval estimate of the mean amount of nitrogen-oxide emissions for all cars?
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x-bar = 0.1143
ME = 2.3263*0.0608/sqrt(7) = 0.0535
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95% CI: 0.1143-0.0535 < u < 0.1143+0.0535
95% CI: 0.0608 < u < 0.1678
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If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, can we safely conclude that this requirement is being met?
I'll leave that to you.
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Cheers,
Stan H.
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