document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=866629>Question 866629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of the scores of all high school seniors that took the SAT-M test (mathematics component of the SAT test) last year followed a Normal distribution, with mean mu and standard deviation = 100.  You read a report that says, “On the basis of a simple random sample of 500 high school seniors that took the SAT-M test this year, a confidence interval for the population (mu) is 512.00 ± 11.52.” \r<BR>\n" );
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document.write( "A 95% confidence interval for the population (mu) would be\r<BR>\n" );
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document.write( "Question 4 options:<BR>\n" );
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document.write( "503.24 to 520.77\r<BR>\n" );
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document.write( "500.48 to 523.52\r<BR>\n" );
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document.write( "316 to 708\r<BR>\n" );
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document.write( "None of the above<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 #522387 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=522387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The lower bound L and the upper bound U are equal to \r<BR>\n" );
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document.write( "L = xbar - ME<BR>\n" );
document.write( "U = xbar + ME\r<BR>\n" );
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document.write( "where xbar is the sample mean and ME is the margin of error. In this case, \r<BR>\n" );
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document.write( "xbar = 512<BR>\n" );
document.write( "ME = 11.52\r<BR>\n" );
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document.write( "These are both given when they report the confidence interval (CI) of 512.00 ± 11.52\r<BR>\n" );
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document.write( "So,\r<BR>\n" );
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document.write( "L = xbar - ME<BR>\n" );
document.write( "L = 512 - 11.52<BR>\n" );
document.write( "L = 500.48\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "U = xbar + ME<BR>\n" );
document.write( "U = 512 + 11.52<BR>\n" );
document.write( "U = 523.52\r<BR>\n" );
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document.write( "Making the final answer to be <font color=\"red\">500.48 to 523.52</font> </SPAN>\n" );
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