Estimating Car Pollution: In a sample of seven cars, each car was tested for nitrogen oxide...

Estimating Car Pollution: In a sample of seven cars, each car was tested for nitrogen oxide emissions (in grams per mile) and the following results were obtained: 0.06, 0.11, 0.16, 0.15, 0.14, 0.08, 0.15 (based on data from the Environmental Protection agency).

a) Assuming that this sample is representative of the cars in use, construct a 99% confidence interval estimate of the mean amount of nitrogen-oxide emissions for all cars.

b) If the Environmental Protection Agency requires that nitrogen-oxide emissions be less than 0.165 grams/mile, can we safely conclude that this requirement is being met?

Solutions

Expert Solution

First we need to find the mean and standard deviation of the sample. Following table shows the calculations:

	X	(X-mean)^2
	0.06	0.00376996
	0.11	0.00012996
	0.16	0.00148996
	0.15	0.00081796
	0.14	0.00034596
	0.08	0.00171396
	0.15	0.00081796
Total	0.85	0.00908572

Sample size:

n= 7

The sample mean is

The sample standard deviation is

Assumption: Population is normally distributed.

(b)

We cannot say that all cars meet the EPA requirement because confidence interval contains 0.165 g /mi.

orchestra answered 1 year ago

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