document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612254>Question 612254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children. A sample of 130 was taken, and the mean amount spent was $182.29. Assuming a standard deviation equal to $45.23, find the 95% confidence interval for m, the mean for all such families (show all work).   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385343 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=385343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children. A sample of 130 was taken, and the mean amount spent was $182.29. Assuming a standard deviation equal to $45.23, find the 95% confidence interval for m, the mean for all such families <BR>\n" );
document.write( "------<BR>\n" );
document.write( "x-bar = 182.29<BR>\n" );
document.write( "ME = 1.96*45.23/sqrt(130) = 7.78<BR>\n" );
document.write( "----<BR>\n" );
document.write( "95%CI: 182.29-7.78 < u < 182.29+7.78<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );