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" );
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document.write( "mu = 110.3 = population mean<BR>\n" );
document.write( "sigma = 1.7 = population standard deviation\r<BR>\n" );
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document.write( "n = 7 = sample size<BR>\n" );
document.write( "xbar = sample mean\r<BR>\n" );
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document.write( "Compute the z score when xbar = 112<BR>\n" );
document.write( "z = (xbar - mu)/( sigma/sqrt(n) )<BR>\n" );
document.write( "z = (112 - 110.3)/( 1.7/sqrt(7) )<BR>\n" );
document.write( "z = 2.65 approximately when rounding to 2 decimal places\r<BR>\n" );
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document.write( "Then use a <a  rel=nofollow HREF=\"https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf\">Z table</a> to determine that <BR>\n" );
document.write( "P(Z < 2.65) = 0.99598<BR>\n" );
document.write( "which leads to<BR>\n" );
document.write( "P(Z > 2.65) = 1-P(Z < 2.65)<BR>\n" );
document.write( "P(Z > 2.65) = 1-0.99598<BR>\n" );
document.write( "P(Z > 2.65) = 0.00402<BR>\n" );
document.write( "This value is approximate.\r<BR>\n" );
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document.write( "To get more accuracy you can use a TI84 or similar stats calculator.<BR>\n" );
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