A random sample of 300 customers was contacted by an Internet provider to determine the average amount of hours per week that customers use the Internet. The sample participants reported an average of 7.2 hours per week. The standard error for the time spent was found to be 0.458. (a) Find the margin of error, using the given standard error, for a 99% confidence interval for the average amount of time all customers use the Internet.
Use the result from part (a) to find the 99% confidence interval for the parameter. Round to two decimal places and show work.