Suppose that a machine filling mini-boxes of raisins fills the

boxes so that the weight of the boxes has a population mean

14.1 x grams and a population standard deviation 1.4 x

grams. If a random sample of 49 boxes is selected,

a) what is the probability that the sample mean will be

above 14 grams?

b) there is a 92 percent chance that the sample mean will

be above what value?

c) What is the probability that the sample mean will be

between 13.9 and 14.3 grams (inclusive)?

d) What assumption is necessary in order to answer (a), (b)

and (c).