document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=509791>Question 509791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a normal distribution with mean of 100 and standard deviation of 20, find the following:<BR>\n" );
document.write( "        a) The score that separates the lower 20% of the cases from the upper 80%<BR>\n" );
document.write( "        b) The number of cases that fall between the values of 110 and 120.<BR>\n" );
document.write( "        c) The number of cases that fall between 90 and 120.<BR>\n" );
document.write( "        d) The number of cases that fall above a score of 80. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341615 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=341615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a normal distribution with mean of 100 and standard deviation of 20, find the following:<BR>\n" );
document.write( "a) The score that separates the lower 20% of the cases from the upper 80%<BR>\n" );
document.write( "Find the z-score with a left tail of 0.20<BR>\n" );
document.write( "invNorm(0.2) = -0.8416 <BR>\n" );
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document.write( "Find the corresponding raw score value:<BR>\n" );
document.write( "x = z*s+u<BR>\n" );
document.write( "x = -0.8416*20+100 = 83.17<BR>\n" );
document.write( "=============================\r<BR>\n" );
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document.write( "b) The percent of cases that fall between the values of 110 and 120.<BR>\n" );
document.write( "Find the corresponding z-values.<BR>\n" );
document.write( "Then find the percentage between those z-values.<BR>\n" );
document.write( "Ans: 0.1499<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "c) The percent of cases that fall between 90 and 120.<BR>\n" );
document.write( "Ans: 0.5328<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "d) The percent of cases that fall above a score of 80.<BR>\n" );
document.write( "Ans: 0.8413<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );