Question 1103204: In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained:
0.080.08,
0.070.07,
0.140.14,
0.170.17,
0.190.19,
0.170.17,
0.18 .0.18.
Assuming that this sample is representative of the cars in use, construct a
9898%
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 divided by mig/mi,
can we safely conclude that this requirement is being met?
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! mean is 0.1429 and s=0.0489
CI is (0.085, 0.201)
t(df=6, 0.99) is 3.143
half interval about the mean is +/- 3.143(.0489)/sqrt(7)=0.0581
Because a number greater than 0.165 is in the CI, we cannot conclude that the emissions are less than 0.165 g/mg-mi
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