document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975205>Question 975205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ test, what is the probability that the sample mean scores will be between 85 and 125 points </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597081 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=597081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the standard error.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SE=sigma%2Fsqrt%28n%29 ALIGN=MIDDLE  ALT=\"SE=sigma%2Fsqrt%28n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SE=20%2Fsqrt%2820%29 ALIGN=MIDDLE  ALT=\"SE=20%2Fsqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SE=sqrt%2820%29 ALIGN=MIDDLE  ALT=\"SE=sqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then the margin of error equals,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ME=z%5Bc%5D%2ASE ALIGN=MIDDLE  ALT=\"ME=z%5Bc%5D%2ASE\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ME=z%5Bc%5D%2Asqrt%2820%29 ALIGN=MIDDLE  ALT=\"ME=z%5Bc%5D%2Asqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But you know the ME is equal to,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ME=125-105=20 ALIGN=MIDDLE  ALT=\"ME=125-105=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20=z%5Bc%5D%2Asqrt%2820%29 ALIGN=MIDDLE  ALT=\"20=z%5Bc%5D%2Asqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5Bc%5D=sqrt%2820%29 ALIGN=MIDDLE  ALT=\"z%5Bc%5D=sqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the probability corresponding to a two tailed area between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%2820%29 ALIGN=MIDDLE  ALT=\"-sqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2820%29 ALIGN=MIDDLE  ALT=\"sqrt%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28-sqrt%2820%29%29=3.87x10%5E%28-6%29 ALIGN=MIDDLE  ALT=\"P%28-sqrt%2820%29%29=3.87x10%5E%28-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then the area of interest is the area when you subtract twice this value from 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.99999 ALIGN=MIDDLE  ALT=\"P=0.99999\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Almost 100%.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );