Jump for the target Will children jump farther if they have a target in front of them? To find out, a gym teacher conducted an experiment with 29 twelve-year-old children. The teacher wrote the names of all 29 children on identical slips of paper, put them in a hat, mixed them up, and drew out 15 slips. Each of the 15 selected students did a standing long jump from behind a starting line. The remaining 14 students did a similar standing long jump from behind the starting line, but with a target line placed 200 centimeters from the starting line. The distance from the starting line to the back of each student's closest foot was measured (in centimeters). Here are the data.1 No target: Target: 146 157 199 154 190 156 167 126 109 128 147 179 181 157 180 158 155 167 185 181 167 162 170 152 154 137 171 a. Make a back-to-back stemplot to compare the jump distances for the two groups. b. Are the shapes of the two distributions similar or different? Explain your 171 139 answer. c. Do these data provide some evidence that children like the ones in this experiment will jump farther if they have a target in front of them? Justify your answer.