document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206804>Question 1206804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 110.3 cm and a standard deviation of 1.7 cm. For shipment, 7 steel rods are bundled together.\r<BR>\n" );
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document.write( "Find the probability that the average length of a randomly selected bundle of steel rods is more than 112 cm. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844470 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ̄<BR>\n" );
document.write( " mean: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=110.3cm ALIGN=MIDDLE  ALT=\"mu=110.3cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=7 ALIGN=MIDDLE  ALT=\"n=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > steel rods are bundled together\r<BR>\n" );
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document.write( "a standard deviation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=1.7cm ALIGN=MIDDLE  ALT=\"sigma=1.7cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "find the standard error:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+sigma%2Fsqrt%28n+%29=+1.7%2Fsqrt%287%29+%E2%89%88+0.6425 ALIGN=MIDDLE  ALT=\"s+=+sigma%2Fsqrt%28n+%29=+1.7%2Fsqrt%287%29+%E2%89%88+0.6425\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" >-score using the sample standard deviation to standardize the normal distribution:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%28mu-sigma%29%2Fs+=%28112-110.3%29%2F0.6425=2.6459 ALIGN=MIDDLE  ALT=\"z+=+%28mu-sigma%29%2Fs+=%28112-110.3%29%2F0.6425=2.6459\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the standard normal distribution table or calculator, we can find the probability that the average length of a randomly selected bundle of steel rods is more than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=112cm ALIGN=MIDDLE  ALT=\"112cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28M%3E112%29+=+P%28Z%3E2.6459%29=0.00407369 ALIGN=MIDDLE  ALT=\"P%28M%3E112%29+=+P%28Z%3E2.6459%29=0.00407369\"   DISABLED_style= \"max-width:90%; height:auto;\" >≈ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0041 ALIGN=MIDDLE  ALT=\"0.0041\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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