document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=337022>Question 337022</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To test the null hypothesis that the average lifetime for a particular brand of bulb is 725 hours versus the alternative that the average lifetime is different from 725 hours, a sample of 100 bulbs is used. If the standard deviation is 50 hours and &#945; is equal to 0.01, what values for  will result in rejection of the null hypothesis (show all work). <BR>\n" );
document.write( "(Points :4)\r<BR>\n" );
document.write( "\n" );
document.write( "A 95% confidence interval estimate for a population mean was computed to be (36.5 to 56.0). Determine the mean of the sample, which was used to determine the interval estimate (show all work). <BR>\n" );
document.write( "  (Points :4)<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 #241615 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=241615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To test the null hypothesis that the average lifetime for a particular brand of bulb is 725 hours versus the alternative that the average lifetime is different from 725 hours, a sample of 100 bulbs is used. If the standard deviation is 50 hours and &#945; is equal to 0.01, what values for will result in rejection of the null hypothesis (show all work). <BR>\n" );
document.write( "---------<BR>\n" );
document.write( "2-tail Ttest with alpha = 1% and df = 99<BR>\n" );
document.write( "Critical Value = +/-invT(0.005,99) = +/-2.6264<BR>\n" );
document.write( "Reject intervals are (-inf,-2.6264)U(2.6264,+inf)<BR>\n" );
document.write( "=========================================================== <BR>\n" );
document.write( "A 95% confidence interval estimate for a population mean was computed to be (36.5 to 56.0). Determine the mean of the sample, which was used to determine the interval estimate<BR>\n" );
document.write( "xbar-E = 36.5<BR>\n" );
document.write( "xbar+E = 56<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "2xbar = 92.5<BR>\n" );
document.write( "xbar = 46.25<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );