Question: The plant managers for the Brand-X Cereal Company are responsible for periodically checking the variability of the weight of the boxes of cereal produced. Adjustments are made to the machine that loads the boxes if the sample variance s_X² of the weights of a sample of 21 boxes exceeds 1.72755 ounces². If, with the current setting of the machine, the weights of the cereal boxes are normally distributed with a variance \(\sigma _{X}^{2}\) of 1.1 ounces², what is the probability that the plant managers for Brand-X will make adjustments to the machine that loads the boxes?