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.)

Question

Mathematics

Ayanna Hale

25 November, 11:02

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.)

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Answers (1)

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Anastasia Gallegos · 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