document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190978>Question 1190978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a random sample of 5 ​people, the mean driving distance to work was 18.9 miles and the standard deviation was 6.4 miles. Assume the population is normally distributed and use the​ t-distribution to find the margin of error and construct a 90​% confidence interval for the population mean . Interpret the results. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822925 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=822925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> half-interval for 90%CI t-interval is t(0.95, df=4)*s/sqrt(n)<BR>\n" );
document.write( "=2.132*6.4/sqrt(5)<BR>\n" );
document.write( "=6.10<BR>\n" );
document.write( "(12.8 miles, 25.0 miles)<BR>\n" );
document.write( "We don't know the true value for everybody in the population, but we are 90% confident that it lies within this interval.  </SPAN>\n" );
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