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Eleanor scores 680 on the math portion of the SAT. The distribution of math SAT scores...

Eleanor scores 680 on the math portion of the SAT. The distribution of math SAT scores is approximately Normal, with mean 500 and standard deviation 100. Jacob takes the ACT math test and scores 27. ACT math test scores are Normally distributed with mean 18 and standard deviation 6.


a. Find the standardized scores (z-scores) for both students.


b. Assuming that both tests measure the same kind of ability, who has the higher score?

c. What score must a student earn to be in the top 10% of the population?

d. Find the probability that the mean score on the ACT math test for a random sample of 100 students, is more than 25.

Calculate using Ti-83 or 84

Math   Statistics-And-Probability   
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