document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=584875>Question 584875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the confidence interval to find the margin of error and the sample mean:\r<BR>\n" );
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document.write( "(0.256,0.380)\r<BR>\n" );
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document.write( "a.The margin of error is: _____<BR>\n" );
document.write( "b.The sample mea is: _____ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372931 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=372931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
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document.write( "The margin of error is equal to the radius of the confidence interval or half the width of the confidence interval.\r<BR>\n" );
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document.write( "Margin of Error:\r<BR>\n" );
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document.write( "ME = (b-a)/2, where the confidence interval is (a,b)\r<BR>\n" );
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document.write( "ME = (0.380-0.256)/2\r<BR>\n" );
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document.write( "ME = 0.062\r<BR>\n" );
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document.write( "So the margin of error is 0.062\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "The sample mean is the center of the confidence interval. Note: this is assuming that this is a confidence interval for the true population mean.\r<BR>\n" );
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document.write( "Sample Mean:\r<BR>\n" );
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document.write( "xbar = (a+b)/2, for some confidence interval (a,b)\r<BR>\n" );
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document.write( "xbar = (0.256 + 0.380)/2\r<BR>\n" );
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document.write( "xbar = 0.318\r<BR>\n" );
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document.write( "So the sample mean is 0.318 </SPAN>\n" );
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