document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125900>Question 1125900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Boxes of a certain cereal say they hold 15 oz. To make sure they&#8203; do, the manufacturer fills the box to a mean weight of 15.3 &#8203;oz, with a standard deviation of 0.15 oz. If the weights have a normal&#8203; curve, what percentage of boxes actually contain 15 oz or&#8203; more? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742243 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean is 15.3<BR>\n" );
document.write( "standard deviation is .15<BR>\n" );
document.write( "you want to know what percentage of boxes actually contain 15 ounces or more.<BR>\n" );
document.write( "the following graph shows that it will be 97.72%.<BR>\n" );
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document.write( "if you want to find the z-score, you would do the following.\r<BR>\n" );
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document.write( "z = (x-m)/s<BR>\n" );
document.write( "z is the z-score<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "s is the standard deviation.\r<BR>\n" );
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document.write( "formula becomes z = (15 - 15.3) / .15 = -2<BR>\n" );
document.write( "look up in the z-score table for the area to the left of a z-score of -2 to find that the area to the left of the z-score is .0228.<BR>\n" );
document.write( "the area to the right of that z-score is therefore 1 - .0228 = .9772\r<BR>\n" );
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document.write( "the z-score calculator i used will show you that as well, as shown below.<BR>\n" );
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document.write( "the z-score table i used can be found at <a  rel=nofollow HREF= \"http://www.z-table.com/\" target = \"_blank\">http://www.z-table.com/</a>\r<BR>\n" );
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document.write( "it appears i'm having trouble uploading the graphs.<BR>\n" );
document.write( "rest assured that the probability is 97.72%.\r<BR>\n" );
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document.write( "i'll have to do some troubleshooting and will update the solution when i'm successful.\r<BR>\n" );
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document.write( "in the meantime, look up the table and you'll find that the area to the left of a z-score of -2 is .0228 which means that the area to the right of that z-score score is .9772.\r<BR>\n" );
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