## Find the mean of this sampling distribution

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 0.8 lb. and 1 oz., or 391 grams. Assume the standard deviation of the weights is 29 grams and a sample of 50 loaves is to be randomly selected.

(a) This sample of 50 has a mean value of x bar, which belongs to a sampling distribution. Which of these is 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 387 and 395? (Give your answer correct to four decimal places.)

(e) What is the probability that the sample mean will have a value less than 388? (Give your answer correct to four decimal places.)

(f) What is the probability that the sample mean will be within 7 grams of the mean? (Give your answer correct to four decimal places.)

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