In a study of head injuries to ice hockey players the number of hits were monitored electronically by equipping approved helmets with accelerometers that measured head acceleration (m/s2) when a player was hit. The researches counted the number of serious hits, those greater than 30 m/s2, accumulated by each of the 13 players on the team. The counts covered a wide range and tended to have a long right-hand tail so we took the square root and obtained the measurements2

where the largest values indicate larger chances of injury.
Conduct a test of hypotheses with the intent of establishing that the mean of the square root, μ, is greater than 2.8. Take α = .05.

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3.74 1.73 3.16 4.00 3.61 5.10 6.40 .58 2.65 2.83 3.6 3.00 3.61