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

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, 0.07, 0.19, 0.08, 0.15, 0.15, 0.18, 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 omissions be less than 0.0165 g/mi, can we safety 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

for 98% CI, t=3.143

hence confidence interval =sample mean -/+t*std error =0.085 ; 0.201

as above interval contains 0.165 as a value

option B is correct

X 0.18 0.07 0.19 0.08 0.15 0.15 0.18 mean(X) 0.143 std deviation(S) 0.049 std error =S/(n)1/2 0.018

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