document.write( "Question 1186324: Supposed the data are SAT scores and follow a normal distribution with a mean of 500 and a standard deviation 100. \r
\n" ); document.write( "\n" ); document.write( "a.What percent of the population obtains scores of 410 or less?
\n" ); document.write( "b.What is the minimum score needed to rank in the top 5% of the populations?
\n" ); document.write( "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?
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Algebra.Com's Answer #817213 by Theo(13342)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "https://davidmlane.com/hyperstat/z_table.html\r
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\n" ); document.write( "\n" ); document.write( "a.What percent of the population obtains scores of 410 or less?\r
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\n" ); document.write( "\n" ); document.write( ".1841 = 18.41%\r
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\n" ); document.write( "\n" ); document.write( "b.What is the minimum score needed to rank in the top 5% of the populations?\r
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\n" ); document.write( "\n" ); document.write( "664.485\r
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\n" ); document.write( "\n" ); document.write( "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?\r
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\n" ); document.write( "\n" ); document.write( "396.357\r
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