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The quality control department of Cola, Inc., maintains records on the quantity of cola in its giant bottle. The actual amount of drink in each

The quality control department of Cola, Inc., maintains records on the quantity of cola in its giant bottle. The actual amount of drink in each bottle is of primary importance, but varies by a minimum amount of bottle in bottle. Cola, Inc., does not want to fill bottles with less liquid than they should, as it would have issues regarding the reliability of the label. On the other hand, no You can put extra liquid in the bottles because it would give away a drink, which would reduce your profits. Records indicate that the amount of cola has a normal probability distribution. The average amount per bottle is 31.2 ounces, and the population standard deviation, 0.4 ounces. Today, at 8 a.m., the Quality technician randomly selected 16 bottles from the filling line. The amount Average drink in the bottles is 31.38 ounces. Is it an unlikely result? Is the process likely to allow too much beverage to be placed in the bottles? On other words, is the sampling error of 0.18 ounces uncommon?
 

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