In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in

Question

In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.11, 0.16, 0.18, 0.07, 0.17, 0.16, 0.06. 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

Explanation / Answer

From the given data we have below calculated values

For 98% CI, t-value = 3.1427

lower limit = mean - t*SE = 0.13 - 3.1427*0.0188 = 0.071

upper limit = mean + t*SE = 0.13 + 3.1427*0.0188 = 0.189

NO, it is possible that the requirement is being met but it is also very possible that the mean is not less than 0.166 g/mi

mean 0.1300 std. dev. 0.0497 SE 0.0188

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