21.5 and standard deviation There are two major tests of readiness for college,

Question

21.5 and standard deviation There are two major tests of readiness for college, the ACT and the SAT ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores are approximately Normal with mean = 5.4. SAT scores are reported on a scale from 600 to 2400, The SAT scores are approximately Normal with mean 1498 and standard deviation = 316 orge scores 1500 on the SAT. Assuming that both tests measure the same thing, what score on the ACT is equivalent to Jorge's SAT score? (Round your answer to one decimal place.)

Explanation / Answer

for SAT, the mean is 1498 and s is 316, thus z is (1500-1498)/316=0.00633

thus for ACT it is mean+z*s =21.5+0.00633*5.4=21.534182

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