In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in
ID: 3176522 • Letter: I
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:
0.18, 0.11, 0.06, 0.16, 0.16, 0.16, 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 < mu <___ g / mi (Round to three decimal places as needed.)
Can we safely conclude that the requirement that nitrogen-oxide emissions be less than 0.165 g / mi is being met?
A. No, because the confidence interval does not contain 0.165g / mi.
B.Yes, because the confidence interval contains 0.165g / mi.
C.Yes, we can definitely conclude that the requirement is met for all cars.
D.No, it is possible that the requirement is being met, but it is also very possible that the mean is not less than 0.165g / mi
.
Explanation / Answer
The statistical output for 98% confidence interval is:
One sample T confidence interval:
: Mean of variable
98% confidence interval results:
Hence,
The confidence interval estimate will be:
0.063 g / mi < mu < 0.189 g / mi
No, we can't safely conclude that requirement that nitrogen-oxide emissions be less than 0.165 g / mi because it is possible that the requirement is being met, but it is also very possible that the mean is not less than 0.165g / mi.
Option D is correct.
Variable Sample Mean Std. Err. DF L. Limit U. Limit var9 0.12571429 0.019982986 6 0.062914388 0.18851418Related Questions
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