Suppose that a random sample of 20 adults has a mean score of 71 on a standardized personality test, with of 5. If we assume on that the scores on the test are normally distributed, find a 95% confidence interval for the mean score of all takers of this test. Give the lower and upper limit of 95% confidence interval.

Carry your intermediate computations to at least 3 decimal places. Round your answer to 1 decimal place