document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208248>Question 208248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quality control expert is called in to determine whether a newly installed machine is producing a particular cotton cloth according to the specifications set by the manufacturer. The mean warp-breaking strength of this particular cotton cloth has been established to be 66 pounds. \r<BR>\n" );
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document.write( "A random sample of 36 pieces of cotton cloth is obtained from a production run on this machine. The results of the sample reveal a mean warp-breaking strength of 64.5 pounds and a standard deviation of 5 pounds. Can the quality control expert say that the cotton produced on the new machine meets the warp-breaking specification of the manufacturer at the .05 level of significance?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159896 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=159896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A quality control expert is called in to determine whether a newly installed machine is producing a particular cotton cloth according to the specifications set by the manufacturer. The mean warp-breaking strength of this particular cotton cloth has been established to be 66 pounds. <BR>\n" );
document.write( "A random sample of 36 pieces of cotton cloth is obtained from a production run on this machine. The results of the sample reveal a mean warp-breaking strength of 64.5 pounds and a standard deviation of 5 pounds. Can the quality control expert say that the cotton produced on the new machine meets the warp-breaking specification of the manufacturer at the .05 level of significance? <BR>\n" );
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document.write( "Ho: u = 0.66<BR>\n" );
document.write( "Ha: u >= 66<BR>\n" );
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document.write( "sample mean = 64.5<BR>\n" );
document.write( "alpha = 5% on a right-tail test.<BR>\n" );
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document.write( "I ran a 1-sample T-test and got the following results:<BR>\n" );
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document.write( "test statistic = -1.8<BR>\n" );
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document.write( "p-value = 0.96<BR>\n" );
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document.write( "Conclusion: Since the p-value is greater than 5% do not reject Ho.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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