document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171705>Question 1171705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hinton Press hypothesizes that the average life of its largest web press is 14,500 hours. They know that the standard deviation of press life is 2,100 hours. From a sample of 25 presses, the company finds a sample mean of 13,000 hours. At a 0.01 significance level, should the company conclude that the average life of the presses is less than the hypothesized 14,500 hours? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796619 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=796619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ho: life is >=14500<BR>\n" );
document.write( "Ha: life is <14500<BR>\n" );
document.write( "alpha=0.01 p{reject Ho|Ho true}<BR>\n" );
document.write( "test is a z<BR>\n" );
document.write( "critical value is z < 2.576<BR>\n" );
document.write( "t=(13000-14500)/2100/sqrt(25)=-7500/2100=-3.57<BR>\n" );
document.write( "reject Ho. The average life of the presses is < 14,500 hours<BR>\n" );
document.write( "p=0.0002 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );