document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826988>Question 826988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maria and Zoe are taking Biology 101 but are in different classes. Maria’s class has an average of 78% with a standard deviation of 5% on the midterm while Zoe’s class has an average of 83% with a standard deviation of 12%. Assume that scores in both classes follow a normal distribution. Now suppose that Maria scored an 84 on the midterm exam and Zoe scored an 89. \r<BR>\n" );
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document.write( "Who did better relative to their class?<BR>\n" );
document.write( " A.Maria  <BR>\n" );
document.write( " B.Zoe  <BR>\n" );
document.write( " C.Cannot Determine  <BR>\n" );
document.write( " D.They performed equally <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 #498372 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=498372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Maria and Zoe are taking Biology 101 but are in different classes. <BR>\n" );
document.write( "Maria’s class has an average of 78% with a standard deviation of 5% on the midterm while <BR>\n" );
document.write( "Zoe’s class has an average of 83% with a standard deviation of 12%. <BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Assume that scores in both classes follow a normal distribution. <BR>\n" );
document.write( "Now suppose that Maria scored an 84 on the midterm exam <BR>\n" );
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document.write( "z(0.84) = (0.84-0.78)/0.05 = 1.2<BR>\n" );
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document.write( "and Zoe scored an 89<BR>\n" );
document.write( "z(0.89) = (0.89-0.83)/0.12 = 0.06/0.12 = 0.5<BR>\n" );
document.write( "-------- <BR>\n" );
document.write( "Who did better relative to their class?<BR>\n" );
document.write( "Ans: Maria's score was 1.2 std above the mean of her class.<BR>\n" );
document.write( "Zoe's score was 1/2 std above the mean of her class.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "A.Maria <BR>\n" );
document.write( "B.Zoe <BR>\n" );
document.write( "C.Cannot Determine <BR>\n" );
document.write( "D.They performed equally \r<BR>\n" );
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document.write( " </SPAN>\n" );
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