In: Statistics and Probability
the normal model N(500,100) describes the distribution of critical reading SAT scores in the United States. which of the following asks for probability and which asks for measurement (and is thus an inverse normal question)?
A) what SAT reading score is at the 65th
percentile?
B) What is the probability that a randomly selected person will score 550 or more?
µ = 500
sd = 100
a)
or, x = 500 + 0.39 * 100
or, x = 539
b)
= P(Z > 0.5)
= 1 - P(Z < 0.5)
= 1 - 0.6915
= 0.3085