Courier Express wished to determine the average weight of parcels carried by its Brisbane operations. On the basis of historical data, the company was aware that the weight of parcels could be approximated by a normal distribution with a variance of0.51 kilograms squared. Last month, it weighed a random sample of24 parcels and found the average weight was 2.472 kg. Determine a 98% confidence interval for the average weight of parcels carried by Courier Express. State the lower limit of the interval (in kg), giving your answer to three decimal places.