document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469011>Question 469011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can a tutor so kindly review these problems and show me how to do them step by step?\r<BR>\n" );
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document.write( "Suppose the scores of certain standardized test are normally distributed with mean 500 and standard<BR>\n" );
document.write( "deviation 60.<BR>\n" );
document.write( "8. (1 point) What percent of the test takers have a score of 440 or less? Round answer to four places after<BR>\n" );
document.write( "the decimal point.<BR>\n" );
document.write( "9. (1 point) What percent of the test takers have a score of 590 or more? Round answer to four places<BR>\n" );
document.write( "after the decimal point.<BR>\n" );
document.write( "10. (1 point) What percent of the test takers have a score between 440 and 590? Round answer to four<BR>\n" );
document.write( "places after the decimal point.<BR>\n" );
document.write( "11. (1 point) Suppose a college will only admit students who score in the top 20% among all test takers,<BR>\n" );
document.write( "what will be the minimum required score be? Round answer to the nearest whole number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321783 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ============<BR>\n" );
document.write( "Suppose the scores of certain standardized tests are normally distributed with mean 500 and standard deviation 60.<BR>\n" );
document.write( "8. (1 point) What percent of the test takers have a score of 440 or less? Round answer to four places after the decimal point.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "z(440) = (440-500)/60 = -1<BR>\n" );
document.write( "%(x <= 440) = %(z <= -1) = normalcdf(-1,100) = 84.1345<BR>\n" );
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document.write( "9. (1 point) What percent of the test takers have a score of 590 or more? Round answer to four places after the decimal point.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Use the same process as above:<BR>\n" );
document.write( "Ans: 6.6807<BR>\n" );
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document.write( "10. (1 point) What percent of the test takers have a score between 440 and 590? Round answer to four places after the decimal point.<BR>\n" );
document.write( "%(440 < x < 590) = %(-1 < z < 1.5) = normalcdf(-1,1.5) = 77.4538<BR>\n" );
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document.write( "11. (1 point) Suppose a college will only admit students who score in the top 20% among all test takers, what will be the minimum required score be? Round answer to the nearest whole number.<BR>\n" );
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document.write( "Find the z-value with a left tail of 80% = invNorm(0.8) = 0.8416<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Find the correspond score (x) using x = zs + u<BR>\n" );
document.write( "x = 0.8416*60+400 = 550.50<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );