document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975500>Question 975500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the weight of consumables in a bag is approximately normally distributed with a mean of 36 grams and a standard deviation of 1.5 grams. if we wish to guarantee that about 90% of the bags have more than particular weight of product, what minimum weight should we guarantee ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597268 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=597268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we will use the z-score equation to identify the minimum weight to guarantee that 90% of the bags will have more than that weight, now<BR>\n" );
document.write( "z-score associated with a probability of .10 ( 1 - .90 ) is -1.28<BR>\n" );
document.write( "using z-score calculation<BR>\n" );
document.write( "-1.28 = (X - 36) / 1.5<BR>\n" );
document.write( "X - 36 = -1.28 * 1.5<BR>\n" );
document.write( "X = (-1.28 * 1.5) + 36<BR>\n" );
document.write( "X = 34.08 grams<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );