10. A replacement part fo r a machine must be produced w ith in close specifications in order fo r it to be acceptable to customers. Suppose the sample variance fo r 20 parts turns o u t to b e s2 = 0.03.

a. Construct a 95% confidence interval o f th e population variance.

b. Production specifications call for a variance in the lengths o f the parts to be exactly 0.05. Comment on w h e th er or not the specification is being violated.