SOLUTION: Local bakery bakes more than a thousand 1-lb loaves of bread daily, and weights of these loaves vary. The mean weight is 1lb 1oz or 482 grams. Assume that the standard deviation

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Question 476509: Local bakery bakes more than a thousand 1-lb loaves of bread daily, and weights of these loaves vary. The mean weight is 1lb 1oz or 482 grams. Assume that the standard deviation of the weights is 18 grams and that a sample of 40 loaves is to be randomly selected.
A. This sample of 40 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution.
I don't understand how to find the slope. HELP!
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
By the Central Limit Theorem, the sampling distribution of the means would be normally distributed, with mean 1 lb 1 oz, or 482 grams, and standard deviation of s%2Fsqrt%28n%29+=+18%2Fsqrt%2840%29+=+2.846 grams to 3 decimal places. Hence the sampling distribution would be symmetric with respect to the mean.