document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675446>Question 675446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A confidence interval estimate for the population mean is given to be (39.86, 47.87).  If the standard deviation is 16.219 and the sample size is 63, answer each of the following (show all work): <BR>\n" );
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document.write( "(A) Determine the maximum error of the estimate, E. <BR>\n" );
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document.write( "(B) Determine the confidence level used for the given confidence interval. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419840 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=419840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "A)\r<BR>\n" );
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document.write( "E = (b-a)/2\r<BR>\n" );
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document.write( "E = (47.87 - 39.86)/2\r<BR>\n" );
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document.write( "E = 4.005\r<BR>\n" );
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document.write( "So the max error (E) is 4.005 (this is also called the margin of error)\r<BR>\n" );
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document.write( "B)\r<BR>\n" );
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document.write( "E = C*s/sqrt(n)\r<BR>\n" );
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document.write( "4.005 = C*16.219/sqrt(63)\r<BR>\n" );
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document.write( "4.005*sqrt(63) = C*16.219\r<BR>\n" );
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document.write( "4.005*sqrt(63)/16.219 = C\r<BR>\n" );
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document.write( "C = 4.005*sqrt(63)/16.219\r<BR>\n" );
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document.write( "C = 1.959966\r<BR>\n" );
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document.write( "So the critical value is 1.959966, which means that the confidence level is 95% (use either a calculator or a table to find this)\r<BR>\n" );
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