document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180427>Question 1180427</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain miller claims that the average weight of a cavan of rice is 50 kg with a <BR>\n" );
document.write( "population standard deviation of 2.5.  A retailer sampled 20 cavans of this rice and got an<BR>\n" );
document.write( "average weight of 46.6 kg. Is the claim of the rice miller valid using 5 % level of significance?<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 #810231 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=810231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a one sample z-test<BR>\n" );
document.write( "Assuming randomness and normality,<BR>\n" );
document.write( "Ho: mu=50 kg<BR>\n" );
document.write( "Ha: mu NE 50 kg<BR>\n" );
document.write( "alpha=0.05 p{reject Ho| Ho true}<BR>\n" );
document.write( "test stat is a z, reject if |z|>1.96<BR>\n" );
document.write( "z=(46.6-50)/2.5/sqrt(20)<BR>\n" );
document.write( "=-3.4*sqrt(20)/2.5<BR>\n" );
document.write( "=6.08<BR>\n" );
document.write( "NO, strongly reject Ho with strong evidence that the average weight is below 50 kg.<BR>\n" );
document.write( "P<<0.0001 (about 10^(-9))<BR>\n" );
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