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Bill Board is "lording" his SAT score over his friend, Rhoda Dendron, who took the ACT. "You only got a 25 in math," he chortled, "while I got a 300 in math." Given that the SAT has a mu of 500 and a rho of 100, and the ACT has a mu of 20 and a rho of 5, what is wrong with Bill's logic (give the answer in both z scores and percentile ranks)

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