It is possible to score higher than 1600 on the SAT, but scores 1600 and above are reported as 1600. In 2007, the distribution of SAT scores (combining mathematics and reading) was close to Normal with mean 1021 and standard deviation 211. What proportion of 2007 SAT scores were reported as 1600?
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μ = 1021
σ = 211
x = scores higher than 1600
standardize x to z = (x - μ) / σ
P(x > 1600) = P( z > (1600-1021) / 211)
= P(z > 2.7441) = .0031 ---- proportion of 2007 SAT scores were reported as 1600
(From Normal probability table)
σ = 211
x = scores higher than 1600
standardize x to z = (x - μ) / σ
P(x > 1600) = P( z > (1600-1021) / 211)
= P(z > 2.7441) = .0031 ---- proportion of 2007 SAT scores were reported as 1600
(From Normal probability table)