A producer of machine parts claimed that the diameters of the connector rods produced by his plant had a variance of at most .03 inch2. A random sample of 15 connector rods from his plant produced a sample mean and variance of .55 inch and .053 inch2, respectively.
a. Is there sufficient evidence to reject his claim at the α = .05 level of significance?
b. Find a 95% confidence interval for the variance of the rod diameters.