An Australian statistics firm conducted a survey to determine the number of high school students per high school in Australia. From surveying 41 Australian high schools, the mean number of students was found to be 1497, with a standard deviation of 336 students. Assuming the data was collected through a random sample and that the number of high school students per high school is approximately normally distributed, calculate a 95% confidence interval estimate of the number of high school students per high school in Australia, State only the lower bound correct to three decimal places