In: Statistics and Probability
Solution: n = 19 , x̄ = 20 , s = 5, df = n-1 = 18
C = 99% , using t distribution table , tc = 2.878
Margin of error = E = tc(s/√n) = 2.878(5/√19) = 3.3013
Lower Limit = x̄ - E = 20 - 3.3013 = 16.6987
Upper Limit = x̄ - E = 20 + 3.3013 = 23.3013
The 99% confidence interval for the mean
(16.6987 , 23.3013)