Question 831390: A bottling station in Plant A of a fizzy drinks company fills cans with nominal value of 330 ml. Five days before the annual maintenance of the machinery, a sample of 16 cans is take and the value of the liquid measured. At the 5% level of significance, test whether the bottling process is carried out accurately or whether the filling machinery needs calibration. Use both critical and the p-value approaches. Data for Plant A
Plant A : 333,332,320,326,328,325,323,321,334,322,320,329,330,328,331,330
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A bottling station in Plant A of a fizzy drinks company fills cans with nominal value of 330 ml. Five days before the annual maintenance of the machinery, a sample of 16 cans is take and the value of the liquid measured. At the 5% level of significance, test whether the bottling process is carried out accurately or whether the filling machinery needs calibration. Use both critical and the p-value approaches. Data for Plant A
Plant A : 333,332,320,326,328,325,323,321,334,322,320,329,330,328,331,330
x-bar = 327
std = 4.6904
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Ho: u = 330
Ha: u # 330
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t(327) = (327-330)/[4.6904/sqrt(16)] = 2.5584
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p-value = 2*P(t > 2.5584 when df = 15) = 0.0218
Since the p-value is less that 5% reject Ho.
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Critical value for 2-tail test with alpha = 5% and df = 15 : t = +-2.1314
Since 2.5584 is in the reject interval, reject Ho.
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Cheers,
Stan h.
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