Charge of filling the boxes and the sample


A population of cereal boxes has a normal weight with a mean of 16 ounces and a standard deviation of 0.2 ounces. If a box is chosen at random what is the probability that it will weigh less than 15.3 ounces? If a sample of 9 boxes is randomly chosen, what is the probability that the mean will be less than 15.3 ounces? If a sample of 25 boxes is randomly chosen, what is the probability that the mean will be less than 15.3 ounces? If you were in charge of filling the boxes and the sample of 25 boxes that you chose had a mean of 15.3 ounces what action would you take?

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Basic Statistics: Charge of filling the boxes and the sample
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