Answer
Here we have n = 64, x̅ = 48.25, s = 40.24, df = 63 and Confidence Level = 95%
Using Technology, we have t = 1.998
$s_{x̅} = \frac{40.24}{\sqrt 64} = 5.03$
Lower Bound = 48.25 - (1.998)(5.03) = 38.20
Upper Bound = 48.25 - (1.998)(5.03) = 58.30
Work Step by Step
Use minitab for calculation of Mean and Stdev.