SOLUTION: In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained:
0.06, 0.11, 0.16, 0.15, 0.14 0.08, 0.15
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Question 1056972: In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained:
0.06, 0.11, 0.16, 0.15, 0.14 0.08, 0.15
Assuming that this sample is representative of the cars in use, construct a 95% confidence interval estimate of the mean amount of nitrogen-oxide emissions for all cars.
Please also let me know what formulas and tables I need to complete this problem, what variables I need to know for those formulas, and how to identify them, and a step by step breakdown, thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were obtained:
0.06, 0.11, 0.16, 0.15, 0.14 0.08, 0.15
The sample mean = (sum of those numbers)/7 = 0.12
The sample standard deviation = 0.04
Note: You need the formula to get the standard deviation.
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Assuming that this sample is representative of the cars in use, construct a 95% confidence interval estimate of the mean amount of nitrogen-oxide emissions for all cars.
You need the formula for the Margin of Error:: ME = z*s/sqrt(n)
ME = 1.96*0.04/sqrt(7) = 0.03
You need a z-table to find the z-value with a left tail of 2.5%
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95% Confidence Interval:: sample mean - ME < u < sample mean + ME
0.12-0.03 < u < 0.12+0.03
0.09 < u < 0.15
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Cheers,
Stan H.
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