Suppose that a random sample of 12 adults has a mean score of 63 on a standard personally test, with a standard deviation of 5. A higher score indicates a more personable participant. If we assume that on this test normally distributed, find a 95% confidence interval for the mean score for all takers of this test.

Give Lower and upper limit of the 95% confidence interval.

Carry your intermediate computations to at least 3 decimal places.

Round your answers to 1 decimal place.