A physical therapist wishes to learn whether an exercise program increases flexibility. She measures the flexibility (in inches) of 12 randomly selected subjects both before and after an intensive 8-week training program and obtains the data shown. Is the median flexibility before the exercise program less than the median flexibility after the exercise program? Use the α = 0.05 level of significance.

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After Subject Subject Before Before After 18.5 19.25 19.75 19.5 21.75 2 21.5 15.75 17 3 16.5 16.5 18 19.25 4 21 20.25 10 22 19.5 20 22.25 11 15 16.5 20.5 15 16 12 20