The design of controls and instruments has a large effect on how easily people can use them. a student project investigated this effect by asking 25 right-handed students to turn a knob (with their right hands) that moved an indicator by screw action. there were two identical instruments, one with a right-hand thread (the knob turns clockwise) and the other with a left-hand thread (the knob turns counterclockwise). the table below gives the times required (in seconds) to move the indicator a fixed distance: subject right thread left thread subject right thread left thread1 113 137 14 107 872 105 105 15 118 1663 130 133 16 103 1464 101 108 17 111 1235 138 115 18 104 1356 118 170 19 111 1127 87 103 20 89 938 116 145 21 78 769 75 78 22 100 11610 96 107 23 89 7811 122 84 24 85 10112 103 148 25 88 12313 116 147 (a) each of the 25 students used both instruments. discuss briefly how the experiment should be arranged and how randomization should be used.(b) the project hoped to show that right-handed people find right-hand threads easier to use. state the appropriate null hypothesis and alternative hypothesis about the mean time required to complete the task.(c) carry out a test of your hypotheses. give the p-value and report your conclusions at α=0.05with detailed solving process! you~