Variation in Pistons When designing a piston to be used for a pump for transferring liquid solutions, engineers specified a mean of 0.1 in. as the target for the piston radius. The maximum standard deviation is specified as 0.0005 in. (based on data from Taylor Industries). When 12 pistons are randomly selected from the production line and measured, their radii have a standard deviation of 0.00047 in. Is there sufficient evidence to support the claim that the pistons are being manufactured with radii that have a standard deviation less than the specified maximum of 0.0005 in.? Use a 0.05 significance level.