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Four runners from the Run Girl Run! running club plan to take part in an upcoming race that features both individual and team events. The
Four runners from the Run Girl Run! running club plan to take part in an upcoming race that features both individual and team events. The team is planning to participate in a race in which each member of a four-person team runs a 5K race. Prizes are awarded for best individual time and to the team with the best overall time. The mean time and standard deviation, in minutes, for each of the runners in similar 5K races are given below. Running times for the individual runners are approximately normally distributed, and it is reasonable to assume that the individual times of the four runners are independent of each other. Mean (minutes) Std dev (minutes) Jill 22.45 0.25 Karen 19.65 0.12 Ruth 20.47 0.17 Soma 22.58 0.28
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