document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140014>Question 1140014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Starting salaries of 90 college graduates who have taken a statistics course have a mean of $42,432 and a standard deviation of $10,854. <BR>\n" );
document.write( "Using a 0.91 degree of confidence, find both of the following: <BR>\n" );
document.write( "A.   The margin of error E <BR>\n" );
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document.write( "B.   The confidence interval for the mean μ:<BR>\n" );
document.write( " <μ<  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760544 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=760544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> half-interval is t df=89*s/sqrt(n)<BR>\n" );
document.write( "t=1.714<BR>\n" );
document.write( "E=1.714*10854/sqrt(90)=$1961.01 or $1961<BR>\n" );
document.write( "91% CI is ($40471, $44393), the mean +/- the error\r<BR>\n" );
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document.write( "if one uses a z-test then z=1.695<BR>\n" );
document.write( "and the interval width is 1939.27 or $1939 and the interval is ($40493, $44371) </SPAN>\n" );
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