## Question 938:

random sample of 100 pieces of wire and wants to see if the thickness of a batchof wire meets minimum specifications. Assume that the population mean is

0.45 inch, with a standard deviation of 0.03 inch.

a) Calculate the mean and the standard deviation of the sampling distribution.

b) What may be said about the shape of the sampling distribution?

c) Within what range of values does the sample mean have a 68.26% chance of

falling?

d) Within what range of values does the sample mean have a 95.44% chance of

falling?