document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=424232>Question 424232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A teacher informs her history class that a test is very difficult, but the grades would be curved.  Scores for the test are normally distributed with a mean of 25 and a standard deviation of 5.  If the grades are curved according to the following scheme, find the numerical limits for each grade. <BR>\n" );
document.write( "     A: Top 10%<BR>\n" );
document.write( "     B: Scores above the bottom 70% and below the top 10%.<BR>\n" );
document.write( "     C: Scores above the bottom 30% and below the top 30%<BR>\n" );
document.write( "     D: Scores above the bottom 10% and below the top 70%<BR>\n" );
document.write( "     F: Bottom 10%<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295817 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=295817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A teacher informs her history class that a test is very difficult, but the grades would be curved. Scores for the test are normally distributed with a mean of 25 and a standard deviation of 5. If the grades are curved according to the following scheme, find the numerical limits for each grade. <BR>\n" );
document.write( "A: Top 10%<BR>\n" );
document.write( "Find z-value with a 10% right tail: 1.2816<BR>\n" );
document.write( "Corresponding grade: g = 1.2816*5+25 = 31.41<BR>\n" );
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document.write( "B: Scores above the bottom 70% and below the top 10%.<BR>\n" );
document.write( "z-value with 30% right tail: 0.5244<BR>\n" );
document.write( "Corresponding grade: g = 0.5244*5+25 = 27.62<BR>\n" );
document.write( "Ans: grades from 25.62<= g <=31.41<BR>\n" );
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document.write( "C: Scores above the bottom 30% and below the top 30%<BR>\n" );
document.write( "Can you figure it?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "D: Scores above the bottom 10% and below the top 70%<BR>\n" );
document.write( "Can you figure it?<BR>\n" );
document.write( "---<BR>\n" );
document.write( "F: Bottom 10%<BR>\n" );
document.write( "z-value with 10% left tail: -1.2816<BR>\n" );
document.write( "Corresponding grade: g = -1.2816*5+25 = 18.59<BR>\n" );
document.write( "----------------------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );