SOLUTION: Supposed the data are SAT scores and follow a normal distribution with a mean of 500 and a standard deviation 100. a.What percent of the population obtains scores of 410 or les

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Question 1186324: Supposed the data are SAT scores and follow a normal distribution with a mean of 500 and a standard deviation 100.
a.What percent of the population obtains scores of 410 or less?
b.What is the minimum score needed to rank in the top 5% of the populations?
c.A psychologist wishes to test a new learning strategy on the bottom 15% of those who took the Math SAT. What cut-off score should she use to select participants for her study?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
use the following calculator.

https://davidmlane.com/hyperstat/z_table.html

answers to your questions.

a.What percent of the population obtains scores of 410 or less?

.1841 = 18.41%




b.What is the minimum score needed to rank in the top 5% of the populations?

664.485




c.A psychologist wishes to test a new learning strategy on the bottom 15% of those who took the Math SAT. What cut-off score should she use to select participants for her study?

396.357