document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070681>Question 1070681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)  Find the&#8203; z-score such that the area under the standard normal curve to the left is 0.86\r<BR>\n" );
document.write( "\n" );
document.write( "2)Find the&#8203; z-scores that separate the middle 83&#8203;% of the distribution from the area in the tails of the standard normal distribution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685739 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using EXCEL's NORMSINV,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=1.080 ALIGN=MIDDLE  ALT=\"z=1.080\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Using symmetry,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-0.83=0.17 ALIGN=MIDDLE  ALT=\"1-0.83=0.17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Half goes to the right hand side and half goes to the left.<BR>\n" );
document.write( "So find z such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=0.17%2F2=0.085 ALIGN=MIDDLE  ALT=\"z=0.17%2F2=0.085\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using EXCEL's NORMSINV,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5B1%5D=-1.3722 ALIGN=MIDDLE  ALT=\"z%5B1%5D=-1.3722\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using symmetry,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5B2%5D=1.3722 ALIGN=MIDDLE  ALT=\"z%5B2%5D=1.3722\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );