document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362868>Question 362868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer of desks has made 200 per week for the last year with a standard deviation (&#963;) of 16. Recently, a manufacturing change was made and now production is at 205 desks per week for the 50 randomly sampled days. Determine, at the 0.01 level of significance (&#945;) using a 1 tail test if the change made any difference.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258664 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=258664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer of desks has made 200 per week for the last year with a standard deviation (&#963;) of 16. <BR>\n" );
document.write( "Recently, a manufacturing change was made and now production is at 205 desks per week for the 50 randomly sampled days. <BR>\n" );
document.write( "Determine, at the 0.01 level of significance (&#945;) using a 1 tail test if the change made any difference.<BR>\n" );
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document.write( "Ho: u <= 200<BR>\n" );
document.write( "Ha: u > 200<BR>\n" );
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document.write( "t(205) = (205-200)/[16/sqrt(50)] = 2.2097<BR>\n" );
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document.write( "p-value = P(t > 2.2097 when df = 49) = 0.0159<BR>\n" );
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document.write( "Conclusion: Since the p-value is greater than<BR>\n" );
document.write( "1%, fail to reject Ho.<BR>\n" );
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document.write( "The test does not show the change made a difference<BR>\n" );
document.write( "at the 1% level of significance.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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