Please solve, with clear work! Thank you!

1. Torque (7) can be determined by measuring the angular deflection (0, in radians) of a hollow cylinder. The relation between torque and deflection is given by: Where G is the shear modulus of the cylinder, Ro. R., and I are the outer radius, inner radius, and length of the cylinder respectively. The values of the parameters have been determined to be as follows, with 95 % confidence. R. = 0.625 + 0.0003 in 2-0.500 = 0.0003 in Z - 5 _ 0.001 in Ten measurements are of the angular deflection are taken and reported to be: 1.510, 1.520, 1.49, 1.48, 1.50, 1.53', 1.48, 1.509, 1.49, 1.46. Assume G= 12 x 10 1b/in . 0 must be in radians for this formula. Determine the torque applied to the bar and its uncertainty (with 95 % confidence). (30 pts.) (8, - 0)2 = 0.00384 (deg)