document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755261>Question 755261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some help please.<BR>\n" );
document.write( "The Nero Match Company sells matchboxes that are supposed to have an average<BR>\n" );
document.write( "of 40 matches per box with &#963; = 9 . A random sample of 94 Nero matchboxes<BR>\n" );
document.write( "shows the average number of matches per box to be 43.1. At a 1% level of<BR>\n" );
document.write( "significance, can you say that the average number of matches per box is more than 40?<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 #459561 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=459561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Nero Match Company sells matchboxes that are supposed to have an average<BR>\n" );
document.write( "of 40 matches per box with &#963; = 9 . A random sample of 94 Nero matchboxes<BR>\n" );
document.write( "shows the average number of matches per box to be 43.1. At a 1% level of<BR>\n" );
document.write( "significance, can you say that the average number of matches per box is more than 40?<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Ho: u = 40<BR>\n" );
document.write( "Ha: u > 40<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "z(43.1) = (43.1-40)/[9/sqrt(04)] = 3.3395<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "p-value = P(z > 3.3395) = normalcdf(3.3395,100) = 0.000419<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Since the p-value is less than 1%, reject Ho at the 1%<BR>\n" );
document.write( "level of significance.<BR>\n" );
document.write( "Conclusion: The test results do not support saying the mean number is 40.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );