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 2 lb. and 2 oz., or 964 grams. Assume the standard deviation of the weights is 22 grams and a sample of 45 loaves is to be randomly selected. (a) This sample of 45 has a mean value of x, which belongs to a sampling distribution. Find the shape of this sampling distribution. skewed rightapproximately normalskewed leftchi-square (b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.) 2 grams (c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.) 3 (d) What is the probability that this sample mean will be between 959 and 969? (Give your answer correct to four decimal places.) 4 (e) What is the probability that the sample mean will have a value less than 961? (Give your answer correct to four decimal places.) 5 (f) What is the probability that the sample mean will be within 5 grams of the mean? (Give your answer correct to four decimal places.) 6