Question 1085206: THE ENVIRONMENTAL PROTECTION OFFICER OF A LARGE INDUSTRIAL PLANT SOUGHT TO DETERMINE THE MEAN DAILY AMOUNT OF SULPHUR OXIDE (POLLUTANT)EMMITED BY THE PLANT. BECAUSE MEASURMENTS COSTS WERE HIGH, ONLY A RANDOM SAMPLE 10 DAYS MEASURMENTS WERE OBTAINED : THESE WERE , IN TONS PER DAY.
8 7 10 15 11 5 8 5 13 12
SUPPOSE EMISSIONS PER DAY ARE NORMALLY DISTRIBUTED. ESTIMATED µ, THE MEAN AMOUNT OF SULPHUR OXIDES EMITTED PER DAY USING THE CONFIDENCE INTERVAL WITH A CONFIDENCE
COEFFICIENT OF 0.95
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! mean is 9.4 tons
std dev is 3.37 tons
the interval width is t df=9, 0.975*s/sqrt(n)
t is 2.26
2.26*3.37/sqrt(10)=2.41
The 95% CI is (6.99, 11.81) tons.
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