Suppose a batch of steel rods produced at a steel plant have a variance of 100 and a mean length of 198 millimeters. If 228 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than 0.88 millimeters? Round your answer to four decimal places. Make sure that you use the z-table to find probability.