Suppose that a random sample of 18 adults has a mean score of 77 on a standardized personality test, with a standard deviation of 4. (A higher score indicates a more personable participant. ) If we assume that scores on this test are normally distributed, find a 99% confidence interval for the mean score of all takers of this test. Give the lower limit and upper limit of the 99% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.) OO Lower limit: X Fo Upper limit