A potato chip company wants to evaluate the accuracy of its potato chip bag filling machine. A simple random sample of 12 bags had a mean weight 8.20 ounces with a sample standard deviation of 1 ounce. Construct a 99% confidence interval for the population mean weight of bags of potato chips.

1. What is the lower bound of the confidence interval? Round answer to three decimal places.

2. What is the upper bound of the confidence interval? Round answer to three decimal places.

3. What is the error bound margin? Round answer to three decimal places.