document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=808111>Question 808111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The dean of students of a large community <BR>\n" );
document.write( "college claims that the average distance that <BR>\n" );
document.write( "commuting students travel to the campus is 32 <BR>\n" );
document.write( "miles. The commuting students feel otherwise. <BR>\n" );
document.write( "A sample of 64 students was randomly selected <BR>\n" );
document.write( "and yielded a mean of 35 miles and a standard <BR>\n" );
document.write( "deviation of 5 miles. Find and interpret the 90% <BR>\n" );
document.write( "confidence interval for the average distance that <BR>\n" );
document.write( "commuting students travel to the campus. <BR>\n" );
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 #486745 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=486745\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  The commuting students feel otherwise. <BR>\n" );
document.write( "A sample of 64 students was randomly selected <BR>\n" );
document.write( "and yielded a mean of 35 miles and a standard <BR>\n" );
document.write( "deviation of 5 miles. Find and interpret the 90% <BR>\n" );
document.write( "confidence interval for the average distance that <BR>\n" );
document.write( "commuting students travel to the campus. <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "sample mean = x-bar = 35 miles<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "ME = 1.645*5/sqrt(64) = 1.028<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "95% CI: 35-1.028 < u < 35+1.028<BR>\n" );
document.write( "95% CI: 33.9720 < u < 36.028<BR>\n" );
document.write( "=======<BR>\n" );
document.write( "We can be 95% certain that the average travel distance is <BR>\n" );
document.write( "between 33.97 and 36.03 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );