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The distribution of actual weights of 8-oz chocolate bars produced by a certain machine is normal with mean 8 ounces and standard deviation 0.14 ounces

(a)  What is the probability that the average weight of a bar in a Simple Random Sample (SRS) with 4 of these chocolate bars is between 7.82 and 8.11 ounces?


(b)  For an SRS of 4 of these chocolate bars, what is the level L such that there is a 1% chance that the average weight is less than L?

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