A researcher would like to estimate the mean weight of all adult female American alligators in the Everglades. The mean weight of a random sample of 91 adult female American alligators from the Everglades was found to be 226 pounds. The standard deviation of the weights of all adult female American alligators in the Everglades is known to be 20 pounds. Using a 97% confidence level, determine the margin of error, E, and a confidence interval for the mean weight of all adult female American alligators in the Everglades. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary. The margin of error is given by E A 97% confidence interval is given by