#### Answer

1 - α = 1 - 0.01 = 0.99
Using Table-IV, we have: $z_α/2 = 2.575$
E = 2.575 . $\sqrt {((45.5)^{2}/41 + (16.34)^{2}/49)}$
= 2.575 . $\sqrt { 2070.25/41 + 266.9956/49}$
= 19.24
The confidence interval will be:
(104.23 - 62,24) - 19.24 = 22.7494
(104.23 - 62,24) + 19.24 = 61.2306

#### Work Step by Step

As above