document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=540767>Question 540767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume you have the following data: H0: = 200, S = 30, n = 64, and X-bar= 218. Conduct a two-tailed hypothesis test at the .05 significance level. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353864 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=353864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Assume you have the following data: <BR>\n" );
document.write( "Ho: u = 200<BR>\n" );
document.write( "Ha: u is not equal to 200<BR>\n" );
document.write( "--------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "S = 30, n = 64, and X-bar= 218. Conduct a two-tailed hypothesis test at the .05 significance level.<BR>\n" );
document.write( "t(218) = (218-200)/[30/sqrt(64)] = 18/[30/8] = 9/(15/8) = 72/15 = 4.8<BR>\n" );
document.write( "---<BR>\n" );
document.write( "p-value = 2*P(t > 4.8 when df = 63) = 2*tcdf(4.8,100,63) = 0.00001014<BR>\n" );
document.write( "-=====<BR>\n" );
document.write( "Conclusion: Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "The test supports the belief that u is not equal to 200 <BR>\n" );
document.write( "at the 5% significance level.<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============== <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );