A replacement part for a machine must be produced within close specifications in order for it to be acceptable to customers. A random sample of 20 parts drawn from a normally distributed population yields a sample variance of s2 = 0.03.

a. Construct the 95% confidence interval for the population variance.

b. Production specifications call for the variance in the lengths of the parts to be exactly 0.05. Comment on whether or not the specifications are being violated.