The College Board reported that SAT scores in the early 2000s were normally distributed with mean 1092 and standard deviation 230. A standardized best of intelligence is scaled so that the mean IQ is 100, and the standard deviation is 20.
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Part 1 of 3
(a) If a student from that era scored 1400 on the SAT, what was her Z score? Round your answer to the nearest hundredth, if necessary. The student's Z score was ___ on the SAT.