document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125245>Question 1125245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An elevator has a placard stating that the maximum capacity is 2370 lb/15 passengers.&#8203; So, 15 adult male passengers can have a mean weight of up to 2370 divided by 15 equals 158 pounds. If the elevator is loaded with 15 adult male&#8203; passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb.&#8203; (Assume that weights of males are normally distributed with a mean of 162 lb and a standard deviation of 28 lb&#8203;.) Does this elevator appear to be&#8203; safe? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741546 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=741546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(xbar-mean)/sigma/sqrt(n)<BR>\n" );
document.write( "=(158-162)/28/sqrt(15)<BR>\n" );
document.write( "=-4/7.23<BR>\n" );
document.write( "z>-0.55, which has a probability being overloaded of 0.7088<BR>\n" );
document.write( "Samples of 15 men have an average weight of 162 with a sd of 7.23<BR>\n" );
document.write( "Therefore, it is more likely than not that an elevator with 15 men will be overloaded. </SPAN>\n" );
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