document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924525>Question 924525</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The weight of people that fly between San Francisco and Seattle is 180 lb on average, with a standard deviation of 29 lb. <BR>\n" );
document.write( "a.	What is the chance that the total weight of 36 people on such a flight will be above 6600lb?<BR>\n" );
document.write( "b.	What is the probability that the average weight of the 36 people on the flight will be at most 176 lb? <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560899 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=560899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean = 180lb with a standard deviation = 29lb.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28x+-+180%29%2Fblue%2829%2Fsqrt%2836%29%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28x+-+180%29%2Fblue%2829%2Fsqrt%2836%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "xbar = 600/36 = 183.3333lb<BR>\n" );
document.write( "Using the z-value to determine the Probability:<BR>\n" );
document.write( "P(xbar > 183.33) = P( z > 3.3333/4.8333) = P(z > .6896) <BR>\n" );
document.write( " Using a TI calculator 0r similarly a Casio fx-115 ES plus<BR>\n" );
document.write( "P(z > .6896) = normalcdf(.6896, 100) = .2452  0r 24.52%<BR>\n" );
document.write( "or<BR>\n" );
document.write( "P(z > .6896)= 1 - P(z<.6896) = 1 - .7548 = .2452  <BR>\n" );
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