One can calculate the 95% confidence interval for the mean

with the population standard deviation known. This will give us an upper and a lower confidence limit. What happens if we decide to calculate the 99% confidence interval? Describe how the increase in the confidence level has changed the width of the confidence interval. Do the same for the confidence interval set at 80%. If it helps you to visualize or describe any of the above, you can use an example and give real values for the intervals in your post.