document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=216091>Question 216091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given degree of confidence and sample data to construct a confidence interval for the population mean u, assume that the population has a normal distribution. <BR>\n" );
document.write( "N=10,x=14.6, s=2.6, 95 percent \r<BR>\n" );
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document.write( "I know the answer is 12.47<u<16.46 but need help showing work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #163244 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=163244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the given degree of confidence and sample data to construct a confidence interval for the population mean u, assume that the population has a normal distribution. <BR>\n" );
document.write( "N=10,x=14.6, s=2.6, 95 percent <BR>\n" );
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document.write( "I assume your \"x\" is really x-bar, which is the sample mean.<BR>\n" );
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document.write( "x-bar = 14.6<BR>\n" );
document.write( "standard error = 2.2622*2.6/sqrt(10) = 1.86<BR>\n" );
document.write( "---<BR>\n" );
document.write( "95% CI: 14.6-1.86 < U < 14.6+1.86<BR>\n" );
document.write( "95% CI: 12.74 < u < 3.72<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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