This Question: 3 pts This Quiz: 33 pts possible In a sample of seven cars, each

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This Question: 3 pts This Quiz: 33 pts possible 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, 0.15, 0.09, 0.16, 0.14, 0 12 044 D 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 distribution table (Round to three decimal places as needed.) Can we safely conclude that the requirement that OA. Yes, because the confidence interval contains 0.165 g/mi. emissions be less than 0.165 g/mi is being met? 6 O B. Yes, we can definitely conclude that the requirement is met for all cars. D. No, because the confidence interval does not contain 0.165 g/mi

Explanation / Answer

since sample size is small( less than 30), so we use t-value to find confidence interval

(1-alpha)*100% confidence interval for population mean=sample mean±t(alpha/2,n-1)*sd/sqrt(n)

98% confidence interval for population mean=mean±t(0.02/2, n-1)*sd/sqrt(n)=

=0.14±3.1427*0.0289/sqrt(7)=(0.1057, 0.1743)

following information has been generated using ms-excel

n= 7 sample mean= 0.140 sd= 0.0289

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