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one barge from Inland waterways Inc. can carry a load of 833.6lb. Records of past trips...

one barge from Inland waterways Inc. can carry a load of 833.6lb. Records of past trips show that the weights of the cans that it carries have a mean of 100lb and a standard deviation of 16lb. For samples of size 64, find the mean and the standard deviation of x bar.
Math   Statistics-And-Probability   
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Answer #1

We know if X has mean and standard deviation of , then By CLT we know that for sample of size n the sample mean X_bar will follow normal distribution with mean and standard deviation   if n is greater than 30.

Here n= 64 , = 100 , =16

So the mean of X_bar is = 100 lb

Standard deviation of X_bar is = = 2 lb

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