The local bakery bakes more than a thousand standard loaves

The local bakery bakes more than a thousand standard loaves of bread daily, and the weights of these loaves vary Normally. 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. Computes its z-score and find the chance that an individual loaf will weigh less than 478g.

b) A sample of 40 loaves is to be randomly selected. Describe this sampling distribution by stating the shape, mean and the standard deviation of this sampling distribution.

c) Sketch both the population and the sampling distribution on the same axis, ensuring correct labelling.

d) What is the chance that a sample mean (from n=40) will have a valueless than 478 grams?

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

Solution