Na sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained: 0.12, 0.08, 0.18, 0.07, 0.12, 0.14, 0.15 . 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 divided by mi, can we safely conclude that this requirement is being met?

(0.0772,0.1688)                                

Step-by-step explanation:

We are given the following data set:

0.12, 0.08, 0.18, 0.07, 0.12, 0.14, 0.15

n = 7

a) Formula:

where are data points, is the mean and n is the number of observations.  

Sum of squares of differences = 0.000008163265305 + 0.001836734694 + 0.003265306122 + 0.002793877551 + 0.000008163265305 + 0.0002938775509 + 0.0007367346937 = 0.008942857142

Confidence interval:

Putting the values, we get,

b) No, this requirement is not met because the interval contains value greater than 0.165 g as well.

b

step-by-step explanation: