document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084533>Question 1084533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A teacher informs his cell biology class (of 500+ students) that a test was very difficult, but the grades would be curved. Scores on the test were normally distributed with a mean of 26 and a standard deviation of 9. The maximum possible score on the test was 100 points. Because of partial credit, scores were recorded with 1 decimal point accuracy. (Thus, a student could earn a 26.6, but not a 25.31.)\r<BR>\n" );
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document.write( " The grades are curved according to the following scheme. Find the numerical limits for each letter grade. \r<BR>\n" );
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document.write( "A - Top 8%    <BR>\n" );
document.write( "B - Scores above the bottom 75% <BR>\n" );
document.write( "     and below the top 8%    <BR>\n" );
document.write( "C - Scores above the bottom 25% <BR>\n" );
document.write( "     and below the top 25%    <BR>\n" );
document.write( "D - Scores above the bottom 8% <BR>\n" );
document.write( "     and below the top 75%    <BR>\n" );
document.write( "F - Bottom 8%  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698650 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=698650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A teacher informs his cell biology class (of 500+ students) that a test was very difficult, but the grades would be curved. Scores on the test were normally distributed with a mean of 26 and a standard deviation of 9. The maximum possible score on the test was 100 points. Because of partial credit, scores were recorded with 1 decimal point accuracy. (Thus, a student could earn a 26.6, but not a 25.31.) <BR>\n" );
document.write( "The grades are curved according to the following scheme. Find the numerical limits for each letter grade. <BR>\n" );
document.write( "A - Top 8%<BR>\n" );
document.write( "Find the z-score with a left tail of 0.92::<BR>\n" );
document.write( "invNorm(0.92) = 1.405<BR>\n" );
document.write( "Find the corresponding score::<BR>\n" );
document.write( "x = z*s+u<BR>\n" );
document.write( "x = 1.405*9+26 = 38.65<BR>\n" );
document.write( "Ans: score = 38.7 when rounded up<BR>\n" );
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document.write( "B - Scores above the bottom 75% <BR>\n" );
document.write( "and below the top 8%<BR>\n" );
document.write( "invNorm(0.75) = 0.675<BR>\n" );
document.write( "Corresponding score:: 0.675*9+26 = 32.1<BR>\n" );
document.write( "Ans:: Above 32.1 ; Below 38.7<BR>\n" );
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document.write( "C - Scores above the bottom 25% <BR>\n" );
document.write( "and below the top 25% <BR>\n" );
document.write( "Above -0.675*9+26 ; Below 0.675*9+26<BR>\n" );
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document.write( "Etc.<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "D - Scores above the bottom 8% <BR>\n" );
document.write( "and below the top 75% <BR>\n" );
document.write( "F - Bottom 8%  </SPAN>\n" );
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