1. A municipality water tank needs to distribute water for different houses of the community. The duration of the time it took at each house is as follows: House number 10 15 Time spent 69 89 70.67 73.45 71.33 73.20 71.09 69.97 74.567 72.00 75.21 89.68 78.30 72.55 69.25 70.36 per house Table 1: The measurement of the time taken to distribute water per house Using table 1 above, calculate the following: a) The standard deviation in the mean time b) The adjusted standard deviation in the mean time c) The standard error in the mean time d) the adjusted standard error in the mean time 2. Let Z be a function of the independently measured quantities A, B, C and D, where A=2.510 + 0.002, B=10.300 + 0.010, C=0.55 + 0.01 and D=100 # 2 And A (C2 + D'/ 2) Z = B Calculate the value of Z and its standard error Az. NB use the method in your study guide 1 to solve the problem. 3. A rectangular brass bar of mass M has dimensions a, b, c as shown in the figure below. The moment of inertia / about the axis at the centre of the ab face and perpendicular to it, is given by: 1 = M 12 ( a