document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088069>Question 1088069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve statistics question.\r<BR>\n" );
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document.write( "The weight of 10000 items are normally distributed with a mean of 115kg and a standard deviation of 3kg. Find the probability that the average weight of 40 randomly selected items will be above 115 kg. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702379 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sample standard deviation = population standard deviation / square root sample size<BR>\n" );
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document.write( "sample standard deviation = 3 / square root(40) = 0.47<BR>\n" );
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document.write( "sample mean is equal to the population mean<BR>\n" );
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document.write( "Probability(P) ( X > 115 ) = 1 - P( X < 115)<BR>\n" );
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document.write( "z-score = 115 - 115 / 0.47 = 0 <BR>\n" );
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document.write( "P ( X < 115 ) = 0.50<BR>\n" );
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document.write( "P ( X > 115 ) = 1 - 0.50 = 0.50<BR>\n" );
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