New Pharma wish to ensure that their paracetamol tablets contain, on average, the amount quoted on the packet of their product - namely 500 mg. Clinical tests on a random sample of52 tablets yielded an average of500.25 mg of paracetamol per tablet. If it can be assumed,on the basis of previous trials, that the standard deviation of is5.2 mg, construct a 99.5% confidence interval for the average amount of paracetamol. State the lower limit (in mg) of this interval correct to two decimal places.