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.
The sampling distribution of the sample mean

Question

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.

The sampling distribution of the sample mean

Accepted Answer

is exactly Normal with mean 40 grams and standard deviation 0.5 grams.

Answer

is approximately Normal with mean 40 grams and standard deviation 0.5 grams.

Answer

cannot be determined because the sample size (16) is fairly small.

Answer

is meaningless in this problem because only one sample is being selected.

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Parts being manufactured at a plant are supposed to weigh 40 grams. Suppose the ...

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