A manufacturer uses a new production method to produce steel rods. A random sample of 3 steel rods resulted in lengths with a standard deviation of 3.46 cm. At the 0.05 significance level, using the critical value method, test the claim that the new production method has lengths with a standard deviation different from 3.6 cm, which was the standard deviation for the old method. Enter the smallest critical value. (Round your answer to nearest thousandth.)