Mathematics
Mathematics, 13.04.2021 01:20, loki285

A researcher in the field of sports biomechanics believes he has found the "ideal" running posture for sprinters. He selects a random sample of 12 high school track sprinters and records their best 200 m time (in seconds). Then he trains these sprinters over several days to run using his proposed "ideal" posture. In the days after the training ends, these sprinters run several 200 m races, and the researcher records their best performance from this time period. The before-training and after-training times (in seconds) are given below. Use the sign test to test the claim that the proposed ideal running posture is effective (i. e. the median of the "before – after" differences is positive). Use a 0.05 level of significance. Identify the value of the TEST STATISTIC used in a hypothesis test of the claim.

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