The Quality Assurance Department for Cola Inc maintains reco

The Quality Assurance Department for Cola, Inc., maintains records regarding the amount of cola in its Jumbo bottle. The actual amount of cola in each bottle is critical, but varies a small amount from one bottle to the next. Cola, Inc., does not wish to underfill the bottles. On the other hand, it cannot overfill each bottle. Its records indicate that the amount of cola follows the normal probability distribution. The mean amount per bottle is 31.2 ounces and the population standard deviation is 0.4 ounces. At 8 A.M. today the quality technician randomly selected 16 bottles from the filling line. According to the Central Limit Theorem, you determine the sampling mean follows the Normal distribution, with mean of_____________and standard deviation of ____________.

Solution

The mean of the sampling distribution is the same as the sample mean,

Mean: 31.2 [answer]

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Meanwhile, the standard deviation of the distirbution of means is the original standard deviation divided by sart(n).

Thus,

standard error of the mean = 0.4 / sqrt(16) = 0.1 [answer]