The amount of warpage in a type of wafer employed in the manufacture of integrated circuits has mean 1.3 mm and standard deviation 0.1 mm. A random sample of 200 wafers is drawn.
a. Determine the probability that the sample mean warpage exceeds 1.305 mm?
b. Find out the 25th percentile of the sample mean.
c. How many wafers should be sampled so that probability is 0.05 that the sample mean exceeds 1.305?