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PEACHESANDVANILLAIN
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2. Scores on the Mathematics section of the SAT Reasoning Test form a normal distribution with a mean of µ = 100 and a standard deviation of σ = 100.
a. If the state college only accepts students who score in the top 60% on this test, what is the minimum score needed for admission?
b. What is the minimum score necessary to be in the top 10% of the distribution?
c. What scores form the boundaries for the middle 50% of the distribution?

Sagot :

ICEXXIN

Answer:

by trial and error:

a. 126

score -> percentile

100 -> 0.5

125 - > 0.59871

126 -> 0.60257

b.

300-> 0.97725

240-> 0.91924

235 -> 0.91149

230 -> 0.9032

229 -> 0.90147

228 -> 0.89973

c. 33 and 168

25th & 75th percentile

33 -> 0.25143

168 -> 0.75175

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