document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162309>Question 1162309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is Normally Distributed with σ = 0.001 millimeters.  A random sample of 15 rings has a mean diameter of 74.036 millimeters. Test if the true mean ring diameter is significantly greater than 74.035 millimeters.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786711 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=786711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With usual assumptions of normality and sd sigma this is a z-test<BR>\n" );
document.write( "if alpha 0.05 (not stated) want |z| <1.96<BR>\n" );
document.write( "z=((74.036-74.035)/0.001/sqrt(15)<BR>\n" );
document.write( "=sqrt(15)=3.87<BR>\n" );
document.write( "reject Ho for ring diameter's being 74.036.  It is larger.<BR>\n" );
document.write( "p-value <0.0001<BR>\n" );
document.write( " </SPAN>\n" );
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