document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235546>Question 235546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a manufacture of tv tubes has for many years used a process giving a mean tube life of 4900 hrs and a standard deviation of 1200 hours.<BR>\n" );
document.write( "A new process is tried to see if it will increase the life significantly. A sample of 100 new tubes gave a mean life of 5000 hrs. Is the new process better than the old process at 1% level of significant? Construct hypotheses test it and interpret the result. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173515 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=173515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a manufacture of tv tubes has for many years used a process giving a mean tube life of 4900 hrs and a standard deviation of 1200 hours.<BR>\n" );
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document.write( "A new process is tried to see if it will increase the life significantly. <BR>\n" );
document.write( "A sample of 100 new tubes gave a mean life of 5000 hrs. <BR>\n" );
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document.write( "Is the new process better than the old process at 1% level of significant? Construct hypotheses test it and interpret the result.<BR>\n" );
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document.write( "Ho: u = 4900<BR>\n" );
document.write( "Ha: u > 4900 (claim)<BR>\n" );
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document.write( "Test statistic: t(5000) = (5000-4900)/[1200/Sqrt(100)] =1000/1200= 0.8333..<BR>\n" );
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document.write( "p-value: P(t>0.8333 with df=99) = 0.2033<BR>\n" );
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document.write( "Since the p-value is greater than 1% do not reject Ho.<BR>\n" );
document.write( "The new process is not an improvement over the old process.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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