document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040407>Question 1040407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 90% confidence interval around the variance was calculated. For n = 27 , the confidence interval was 35.0–88.4. Give the variance of the sample. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655204 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=655204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A 90% confidence interval around the variance was calculated. For n = 27 , the confidence interval was 35.0–88.4. Give the variance of the sample. <BR>\n" );
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document.write( "The width of the CI is 2*ME<BR>\n" );
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document.write( "Your Problem::<BR>\n" );
document.write( "2*ME = (88.4-35) = 53.4<BR>\n" );
document.write( "ME = 26.7<BR>\n" );
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document.write( "ME = z*s/sqrt(n)<BR>\n" );
document.write( "26.7 = 1.645*s/sqrt(27)<BR>\n" );
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document.write( "1.645*s = 26.7*sqrt(27) = 138.74<BR>\n" );
document.write( "s = 84.34<BR>\n" );
document.write( "Ans: variance = s^2 = 84.34^2 = 7113.23<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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