If the EPA requires that nitrogen-oxide emissions be less than 0.165 g/mi, can w

Question

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?

In a sample of seven cars, each car was tested for nitrogen-oxide emissions n grams per mile) and the following results were obtained: 0.14, 0.09, 0.15, 0. 11, 0.19. 0.18, 0.14. 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? Click here to view a t distribution table Click here to view page 1 of the standard normal distribution table Click here to view page 2 of he standard normal distribution table. What is the confidence interval estimate of the mean amount of nitrogen-oxide emissions for all cars? g /mi g/m (Round to three decimal places as needed.)

Explanation / Answer

Solution:- ¯x = 1/7 = 0.143.
Next, we calculate the margin of error:
m = ts/n
= (3.143)*0.04/7
= 3.143 * 0.015
= 0.047

Thus our confidence interval is (0.143-0.047, 0.143+0.047)
  
= (0.096 , 0.19)

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