Computing the sample mean and maximal margin of error E.

Question

Suppose you are told that a 95% confidence interval for the average price of a gallon of regular gasoline in your state is from $2.82 to $3.75. Use the fact that the confidence interval for the mean is in the form x − E to x + E to compute the sample mean and the maximal margin of error E. (Round your answers to two decimal places.)

x = $
E = $

Answer 1

The sample mean is the center of the confidence interval.(the average of the limits)

The margin of error is half the length of the confidence interval (half of the difference of the limits)