The Comfort Widget Company makes several different sized widgets. The smallest widget the manufactures has a mean diameter of .5 inches with a standard deviation of .15 inches. the distribution of measurements for this widget's diameter is approximately normal.
a. What is the probability that a single widget will be have a diameter greater than 3.0 inches?
b. Describe the distribution of sample mean diameters for samples of size 35.
c. What is the probability that sample of 35 small widgets will have a mean diameter greater than 3.0 inches?