document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178895>Question 1178895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> construct a 99% confidence interval estimate for a population of 50, a standard deviation of .02 and a sample mean of .995\r<BR>\n" );
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document.write( "Then a 95% interval and how it changes from the 99% interval </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808339 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=808339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 99% half-interval is z(0.995)*sigma/sqrt(n)=2.576*0.02/sqrt(50)=0.0073<BR>\n" );
document.write( "mean +/- half-interval is (0.9877, 1.0223)<BR>\n" );
document.write( "95% interval is going to be narrower but with less confidence.<BR>\n" );
document.write( "half-interval is 1.96*0.02/sqrt(50)=0.0055<BR>\n" );
document.write( "so interval is (0.9895, 1.0005) </SPAN>\n" );
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