document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159316>Question 1159316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two machines M1, M2 are used to manufacture resistors with a design<BR>\n" );
document.write( "specification of 1000 ohm with 10% tolerance. Resistors of M1 are found to<BR>\n" );
document.write( "follow normal distribution with mean 1050 ohm and standard deviation of 100<BR>\n" );
document.write( "ohm, while those of M2 are found to follow normal distribution with mean 1000<BR>\n" );
document.write( "ohm and standard deviation of 120 ohm. Which machine do you prefer? Why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782299 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=782299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first lot has mean of 1050 and sd of 100<BR>\n" );
document.write( "z=(x-mean)/sd. Compare z scores and their resultant probability<BR>\n" );
document.write( "the tolerance required is between 900 and 1100 ohms and that is between -1.5 and 0.5 sd or 62.5% probability\r<BR>\n" );
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document.write( "The second one has mean of 1000 and sd of 120<BR>\n" );
document.write( "now the 900 to 1100 range are within +/- 0.83 sd That is about 59.5%.\r<BR>\n" );
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document.write( "Use M1. </SPAN>\n" );
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