In order to ensure that the bolts a machine produces are consistent, the variance of the bolt diameters must be 0.03. Each machine is tested by taking a random sample of 19 bolts produced. The manufacturer finds that the 0.27 centimeter bolts have a standard deviation of 0.2783. Does the manufacturer have evidence at the =0.1 level that the variance of the bolt diameters is more than required? Assume the population is normally distributed.