Suppose that the packaging equipment in a manufacturing process that is filling 368 gram packages
of cereal is set so that the amount of cereal in the box is normally distributed with mean of 368
grams. Frompast experience, the standard deviation of the population is known to be 15 grams.
(a) What can you say about the sampling distribution of the sample mean of the box weight if a
sample of 25 boxesis taken from boxesfilled by this equipment?
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