Question

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 μ = 21.5 and standard deviation σ = 5.4. sat scores are reported on a scale from 600 to 2400. the sat scores are approximately normal with mean μ = 1498 and standard deviation σ = 316. alyssa scores 30 on the act. assuming that both tests measure the same thing, what score on the sat is equivalent to alyssa's act score? (round your answer to a whole number.)

Answer 1

Standardized z score for the act result  =  (30 - 21.5) / 5.4  = 1.574

so for the sat ressult we have 1.574 = (X - 1498) / 316

X  = 316 * 1.574 + 1498  =  1995  answer