document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135531>Question 135531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.  After a sample of numbers is taken from a population, the 95% confidence interval is calculated out at {10.5, 12.0}<BR>\n" );
document.write( "What is the correct way to interpret this confidence interval?  Choose one. \r<BR>\n" );
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document.write( "A)95% of all values in the population are between 10.5 and 12.0<BR>\n" );
document.write( "B)There is a 95% probability that the true population parameter is between 10.5 and 12.0.<BR>\n" );
document.write( "C)The true population mean has to be between 10.5 and 12.0<BR>\n" );
document.write( "D)The mean is between 10.5 and 12.0, and the standard deviation is 95.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99344 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=99344\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ans: B<BR>\n" );
document.write( "Comment: That is the best answer of the four you must choose from<BR>\n" );
document.write( "but that is not a generally accepted statement as to the meaning<BR>\n" );
document.write( "of a confidence interval.<BR>\n" );
document.write( "The generally accepted meaning is \"We are 95% confident that the<BR>\n" );
document.write( "population mean lies between 10.5 and 12.\"<BR>\n" );
document.write( "The statement is about confidence, not about probability.  The<BR>\n" );
document.write( "population mean either is or is not in that interval; there is<BR>\n" );
document.write( "no \"probability\" of it being there.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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