document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129664>Question 129664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lewis earned 85 on his biology midterm and 81 on his history midterm.  In the biology class the mean score was 79 with standard deviation 5.  In the history class the mean score was 76 with standard deviation 3.<BR>\n" );
document.write( "	a)  Convert each midterm score to a standard z score.<BR>\n" );
document.write( "	b)  On which test did he do better compared to the rest of the class<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 #94656 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=94656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lewis earned 85 on his biology midterm and 81 on his history midterm. <BR>\n" );
document.write( "In the biology class the mean score was 79 with standard deviation 5. <BR>\n" );
document.write( "In the history class the mean score was 76 with standard deviation 3.<BR>\n" );
document.write( "a) Convert each midterm score to a standard z score.<BR>\n" );
document.write( "Biology: z(85)=(85-79)/5 = 6/5 = 1.2<BR>\n" );
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document.write( "History: z(81)=(81-76)/3 = 5/3 = 1.6666...<BR>\n" );
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document.write( "b) On which test did he do better compared to the rest of the class<BR>\n" );
document.write( "He did better in history because his score is 1.666 standard deviations<BR>\n" );
document.write( "above the mean for the class.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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