SOLUTION: SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points, and are approximately normally distributed. What SAT I score wi

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Question 645240: SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points, and are approximately normally distributed. What SAT I score within the population would have a percentile rank of approximately 2.5? Show all work as to how this is obtained.
Answer by stanbon(75887) About Me  (Show Source):
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SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points, and are approximately normally distributed. What SAT I score within the population would have a percentile rank of approximately 2.5? Show all work as to how this is obtained.
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Find the z-value with a left tail of 0.025
invNorm(0.025) = -1.96
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Find the score using x = z*s + u
x = -1.96*100+500 = 500-196 = 304
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Cheers,
Stan H.