The local bakery bakes more than a thousand 1pound loaves of

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 0.9 lb. and 4 oz., or 522 grams. Assume the standard deviation of the weights is 28 grams and a sample of 40 loaves is to be randomly selected.

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


(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 515 and 529? (Give your answer correct to four decimal places.)


(e) What is the probability that the sample mean will have a value less than 513? (Give your answer correct to four decimal places.)


(f) What is the probability that the sample mean will be within 8 grams of the mean? (Give your answer correct to four decimal places.)

Solution