document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=495771>Question 495771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer of galvanized chains advertises the load capacity of a 16-foot length of chain has an average of 2650 lbs. and a standard deviation of 520 lbs. If a retailer receives an order of 75 chains, what is the probability that the sample mean will be greater than 2,700 lbs? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336181 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=336181\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer of galvanized chains advertises the load capacity of a 16-foot length of chain has an average of 2650 lbs. and a standard deviation of 520 lbs. If a retailer receives an order of 75 chains, what is the probability that the sample mean will be greater than 2,700 lbs?<BR>\n" );
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document.write( "t(2700) = (2700-2650)/[520/sqrt(75)] = 0.8327<BR>\n" );
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document.write( "P(x-bar > 2700) = P(t > 0.8327 when df = 74) = 0.2038<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
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