Suppose that a random sample of 14 adults has a mean score of 74 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 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.
Lower limit: ______
Upper limit: ______
