a manufacturing company produces gears that, in accordance with the standard operating procedure, need to have a standard deviation of at least 5.18 mm in diameters. A random sample of 24 gears is...

a manufacturing company produces gears that, in accordance with the standard operating procedure, need to have a standard deviation of at least 5.18 mm in diameters. A random sample of 24 gears is chosen from the population of those items that have been manufactured on a certain day, and found to have a variance of 36.24 mm². At 0.5% significance level, test the hypothesis and indicate if the standard operating procedure is violated.