In: Math
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 1.7 lb. and 3 oz., or 856 grams. Assume the standard deviation of the weights is 25 grams and a sample of 32 loaves is to be randomly selected.
(A) This sample of 32 has a mean value of x, which belongs to a sampling distribution. Find 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
846 and 866? (Give your answer correct to four decimal places.)
_______
(e) What is the probability that the sample mean will have a value
less than 847? (Give your answer correct to four decimal places.)
_______
(f) What is the probability that the sample mean will be within 4
grams of the mean? (Give your answer correct to four decimal
places.) _______