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The local bakery bakes more than a thousand 1-pound loaves ofbread daily, and the weights of these loaves varies. The meanweight is 2 lb. and 3 oz., or 992 grams. Assume the standarddeviation of the weights is 30 grams and a sample of 35 loaves isto be randomly selected.
(b) Find the mean of this sampling distribution. (Give your answercorrect to nearest whole number.)
grams
(c) Find the standard error of this sampling distribution. (Giveyour answer correct to two decimal places.)
(d) What is the probability that this sample mean will be between988 and 996? (Give your answer correct to four decimalplaces.)
(e) What is the probability that the sample mean will have a valueless than 986? (Give your answer correct to four decimalplaces.)
(f) What is the probability that the sample mean will be within 2grams of the mean? (Give your answer correct to four decimalplaces.)
