Students at a school are interested in how many steps the average student walks at the school each day. They take a random sample of 50 students and have them download an app on their phone which counts the number of steps taken. After several days of recording data, they find the average student takes 5000 steps per day with a standard deviation of 1000. Construct and interpret a 95% confidence interval for the mean number of steps taken by a student at a school. THEN get the critical value for a 99% confidence interval. Write 99% confidence interval for the amount of steps taken by the average student each day.