The maternity ward of the Royal Prince of Hollywood Hospital is doing a study on the average gestation times of the babies born to its patients. A sample of 40 past patients in the ward have been randomly selected and the gestation times of their babies recorded. The sample mean gestation time was calculated as 264 days. The population standard deviation of gestation times of all babies is known to be 17 days. It is assumed that this standard deviation will also apply specifically to the patients of the maternity ward of the Royal Prince of Hollywood Hospital. Calculate the upper and lower bounds of the 99% confidence interval for the mean gestation time of babies born in the maternity ward of the Royal Prince of Hollywood Hospital. You may find this standard normal table useful. Give your answers in days to 2 decimal places. a) Upper bound = days b) Lower bound = days