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 1.1 lb, and 1 oz. or 527 grams. Assume the standard deviation of the weights is 30 grams and a sample of 44 loaves is to be randomly selected. (a) This sample of 44 has a mean value of $x$, which belongs to a sampling distribution. Find the shape of this sampling distribution. skewed right approximately normal skewed left chi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number) 527 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 521 and 533? (Give your answer correct to four decimal places) (e) What is the probability that the sample mean will have a value less than 524? (Give your answer correct to four decimal places) (f) What is the probability that the sample mean will be within 6 grams of the mean? (Give your answer correct to four decimal places.)
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Step 1: Given that the sample of 44 loaves has a mean value of xw with a skewed right distribution. Show more…
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