What is the effect of concussions on the brain? Researchers measured the brain sizes (hippocampal volume, in microliters) of 2525 collegiate football players with a history of clinician‑diagnosed concussion and 2525 collegiate football players without a history of concussion. The summary statistics are given in the table. Group Group Size Mean Standard Deviation Concussion 25 5784 609.3 No concussion 25 6489 815.4 Rashmi Singh et al. Relationship of collegiate football experience and concussion with hippocampal volume and cognitive outcomes. JAMA. 2014, 311, 1883‑1888.     Find the standard error, SE,, for these data. Give your answer to one decimal place. SE=     Find the test statistic. Give your answer to three decimal places. ?=     Using either software or conservative version by the formula, find the degrees of freedom, df.. If you are using software, give your answer to two decimal places. df=

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