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The local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights...

The local bakery bakes more than a thousand 1-pound loaves of bread daily, and the weights of these loaves varies. The mean weight is 1.7 lb. and 3 oz., or 856 grams. Assume the standard deviation of the weights is 25 grams and a sample of 32 loaves is to be randomly selected.

(A) This sample of 32 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution.

a) skewed right

b) approximately normal   

c) skewed left

d) chi-square



(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.)
_____ grams

(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.) ______


(d) What is the probability that this sample mean will be between 846 and 866? (Give your answer correct to four decimal places.) _______


(e) What is the probability that the sample mean will have a value less than 847? (Give your answer correct to four decimal places.) _______


(f) What is the probability that the sample mean will be within 4 grams of the mean? (Give your answer correct to four decimal places.) _______

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