document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762951>Question 762951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A test is given with a mean score of 77 and a standard deviation of 8. <BR>\n" );
document.write( "Draw a sketch of a normal distribution centered at the mean of 77 and divide it into 5 regions based on the following grades:<BR>\n" );
document.write( "The top 10% of scores receive an A  = <BR>\n" );
document.write( "The next 20% of scores receive a B = <BR>\n" );
document.write( "The middle 40% of scores receive a C =<BR>\n" );
document.write( "The next 20% of scores receive a D<BR>\n" );
document.write( "The bottom 10% of scores receive an F<BR>\n" );
document.write( "Find the minimum scores on the test that would give a student an A, B, C, D and F<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 #464355 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=464355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a sketch of a normal distribution centered at the mean of 77  and standard<BR>\n" );
document.write( "deviation of 8;  divide it into 5 regions based on the following grades:<BR>\n" );
document.write( "The top 10% of scores receive an A =<BR>\n" );
document.write( "Find the z-value with a left tail of 0.90:: invNorm(0.9) = 1.2816<BR>\n" );
document.write( "Find the score using x = z*s+u<BR>\n" );
document.write( "x = 1.2816*8+ 77 = 87.25<BR>\n" );
document.write( "------------------------------------------- <BR>\n" );
document.write( "The next 20% of scores receive a B =<BR>\n" );
document.write( "invNorm(0.7) = 0.5244<BR>\n" );
document.write( "x = 0.5244*8+77 = 85.20<BR>\n" );
document.write( "------------------------------------------- <BR>\n" );
document.write( "The middle 40% of scores receive a C =<BR>\n" );
document.write( "invNorm(0.3) = -0.5244<BR>\n" );
document.write( "x = -0.5244*8+77 = 72.8048<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "The next 20% of scores receive a D<BR>\n" );
document.write( "invNorm(0.1) = -1.2816<BR>\n" );
document.write( "x = -1.2816*8+77 = 66.7476<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "The bottom 10% of scores receive an F<BR>\n" );
document.write( "invNorm(0) = -oo<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "Find the minimum scores on the test that would <BR>\n" );
document.write( "give a student an A, B, C, D and F<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "====================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );