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?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #817213 by Theo(13342)![]() ![]() You can put this solution on YOUR website! use the following calculator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://davidmlane.com/hyperstat/z_table.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "answers to your questions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a.What percent of the population obtains scores of 410 or less?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".1841 = 18.41%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b.What is the minimum score needed to rank in the top 5% of the populations?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "664.485\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "396.357\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() |