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Parts being manufactured at a plant are supposed to weigh 40 grams. Suppose the distribution of weights has a Normal distribution with mean 40 grams and a standard deviation 2 grams. Quality control inspectors randomly select 16 parts, weigh each, and then compute the sample average weight for the 16 parts.
Reference: Ref 11-7

The sampling distribution of the sample mean

A.is exactly Normal with mean 40 grams and standard deviation 0.5 grams.
B.is approximately Normal with mean 40 grams and standard deviation 0.5 grams.
C.is meaningless in this problem, since only one sample is being selected.
D.cannot be determined since the sample size (16) is fairly small

B) what is the probability that the mean weight of these 16 parts is more than 41 grams?

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