document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157815>Question 1157815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diameters of steel disks produced in a plant are normally distributed with a mean of 2.5 cm and standard deviation of .02 cm. <BR>\n" );
document.write( "---5% of the disks with the lowest diameters are discarded, find the highest diameter   of such disks…………………………………………….<BR>\n" );
document.write( "HINT: What value marks the 5th percentile of this distribution?<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 #780706 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The z-value for 95th percentile is +1.645<BR>\n" );
document.write( "z=(x-mean)/sd<BR>\n" );
document.write( "1.645=(x-2.5)/0.02<BR>\n" );
document.write( "0.0329=x-2.5<BR>\n" );
document.write( "x=2.5329 or 2.533 cm<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );