document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183486>Question 1183486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average Intelligent Quotient (IQ) of the adult population is 100. A researcher believes the average IQ of adults is lower. A random sample of 5 adults are tested and scored.69,79,89,99,109 and standard deviation 15.81. Is there enough evidence to suggest the average IQ is lower? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813848 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B0%5D%3A+mu+=+100 ALIGN=MIDDLE  ALT=\"H%5B0%5D%3A+mu+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5Ba%5D%3A+mu+%3C+100 ALIGN=MIDDLE  ALT=\"H%5Ba%5D%3A+mu+%3C+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When significance level is unspecified it is normally assumed to be 5%, or 0.05.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%28X-bar+-+mu%29%2F%28s%2Fsqrt%28n%29%29+=+%2889+-+100%29%2F%2815.81%2Fsqrt%285%29%29+=+-1.556 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From stattrek.com, p-value = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28t+%3C+-1.556%29+=+0.0973 ALIGN=MIDDLE  ALT=\"P%28t+%3C+-1.556%29+=+0.0973\"   DISABLED_style= \"max-width:90%; height:auto;\" > for t-distribution with 4 d.f.\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha+=+0.05+%3C+0.0973 ALIGN=MIDDLE  ALT=\"alpha+=+0.05+%3C+0.0973\"   DISABLED_style= \"max-width:90%; height:auto;\" >, do not reject the null hypothesis and there is no reason to believe that average IQ is lower than 100. </SPAN>\n" );
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