Suppose that a random sample of 15 adults has a mean score of 68 on a standardized personality test with a standard deviation of 7 A higher score indicates a more personable participant If we assume that scores on this test are normally distributed find a 95 confidence interval for the mean score of all takers of this test Give the lower limit and upper limit of the 95 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 Lower limit Upper limit 0 X S