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

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1. The local bakery bakes more than a thousand 1-pound loaves ofbread daily, and the weights of these loaves varies. The meanweight is 1.3 lb. and 1 oz.,or 618 grams. Assume the standard deviation of theweights is 24 grams and a sample of 42 loavesis to be randomly selected.
(a) Find the mean of this sampling distribution. (Give your answercorrect to nearest whole number.) grams(b) Find the standard error of this sampling distribution. (Giveyour answer correct to two decimal places.)(c) What is the probability that this sample mean will bebetween 609 and 627? (Give your answer correct tofour decimal places.)(d) What is the probability that the sample mean will have a valueless than 611? (Give your answer correct to four decimalplaces.)(e) What is the probability that the sample mean will bewithin 8 grams of the mean? (Give your answer correct tofour decimal places.)