Question

The local bakery bakes more than a thousand standard loaves of
bread daily, and the weights of these loaves follow a normal
distribution. The long term mean weight is 482 grams and the
standard deviation of the weights is 18 grams.

a) An individual loaf is measured and weighs 478 grams. What is the
probability that an individual loaf will weigh less than
478grams.

b) What is the sampling distribution of the mean weight of loaves
if samples of size 36 were taken from the population?

c) Sketch both the population and the sampling distribution on the
same axis, including the mean and approximate range of both
distributions. Ensure correct labelling.

d) What is the probability that a sample mean (from n = 36) will
have a value less than 478 grams?

e) If the sample size was changed to 144, state how the sampling
distribution would change in position and shape.

f) Would these calculations above be valid if the population
distribution was skewed? EXPLAIN clearly, stating the concept or
theory that is involved in this situation

Answer #1

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 1.2 lb.
and 2 oz., or 601 grams. Assume the standard deviation of the
weights is 25 grams and a sample of 46 loaves is to be randomly
selected.
(a) This
sample of 46 has a mean value of x, which
belongs to a sampling distribution. Find the shape of this sampling
distribution.
skewed
rightapproximately
normal skewed...

The local bakery bakes more than a thousand 1-pound loaves of
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weight is 1.2 lb. and 2 oz., or 601 grams. Assume the standard
deviation of the weights is 25 grams and a sample of 46 loaves is
to be randomly selected.
(a) This sample of 46 has a mean value of x, which belongs to
a sampling distribution. Find the shape of this sampling
distribution.
skewed right
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