document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62748>Question 62748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The grades of an examination are normally distributed with a mean of 75 and a standard deviation of 12.<BR>\n" );
document.write( "a)	The students who score in the bottom 5% will be retested. What score does this represent?<BR>\n" );
document.write( "b)	The top 10% are to receive a special award. What score must be earned to receive the award?<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 #43618 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=43618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The grades of an examination are normally distributed with a mean of 75 and a standard deviation of 12.<BR>\n" );
document.write( "a) The students who score in the bottom 5% will be retested. What score does this represent?<BR>\n" );
document.write( "Determine the z-value corresponding to the lower 5% of the standard normal<BR>\n" );
document.write( "distribution. It is z=-1.645<BR>\n" );
document.write( "Find the X value corresponding to this z-value using the formula <BR>\n" );
document.write( "z=[X-mu]/sigma<BR>\n" );
document.write( "-1.645=[X-75]/12<BR>\n" );
document.write( "X=55.26<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "b) The top 10% are to receive a special award. What score must be earned to receive the award?<BR>\n" );
document.write( "Find the proper z-value. It is 1.2816<BR>\n" );
document.write( "Find the corresponding X<BR>\n" );
document.write( "1.28816=[X-75]/12<BR>\n" );
document.write( "X=90.38<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );