(Solved): Suppose that a random sample of 15 adults has a mean score of 71 on a standardired personality test ...

Suppose that a random sample of 15 adults has a mean score of 71 on a standardired personality test, with a standard deviation of 4 . (A higher seore indicates a more personable participant.) if we assume that scores on this test are normally distributed, find a $99\%$ confidence interval for the inean score of alf takers of this test. Give the lower limit and upper limit of the $99\%$ confidence interval. Carry your intermedlate computations to at least three decimal places. pound your answers to one decimal place. (If necessary, consult a fist of formulas.)