document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196763>Question 1196763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A machine produces metal rods used in an automobile suspension system. A random sample of 15 rods is selected, and the diameter is measured. The resulting data (in millimeters) are as follows: 8.24 8.25 8.20 8.24 8.21 8.26 8.26 8.20 8.25 8.23 8.23 8.19 8.28 8.24<BR>\n" );
document.write( "The upper boundary of the 99% prediction interval on the next rod selected is?<BR>\n" );
document.write( "Only the final answer should be rounded-off to TWO decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829853 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=829853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sample mean is equal to 8.2343<BR>\n" );
document.write( "the sample standard deviation is equal to .02623<BR>\n" );
document.write( "the sample size is equal to 14<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/100301.jpg\"><BR>\n" );
document.write( "the critical t-score at 13 degrees of freedom (sample size - 1) = plus or minus 3.0123.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/100303.jpg\"><BR>\n" );
document.write( "to calculator the raw score, use the t-score formula of:<BR>\n" );
document.write( "t = (x - m) / s<BR>\n" );
document.write( "t is the t-score<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "s is the standard deviation if you are looking at one value from a sample<BR>\n" );
document.write( "s is the standard error if you are looking at the mean of values from a sample<BR>\n" );
document.write( "standard error = standard deviation / sqrt(sample size)<BR>\n" );
document.write( "for this problem, standard error = .02623 / sqrt(14) = .007<BR>\n" );
document.write( "from the t-score formula, solve for x to get:<BR>\n" );
document.write( "x = s * t + m<BR>\n" );
document.write( "for this problem, the lower x-value becomes x = .007 * -3.0123 + 8.2343 = 8.2132 and the upper x-value becomes x = .007 * 3.0123 + 8.2343 = 8.2554<BR>\n" );
document.write( "if i understand your problem correctly, the upper boundary for the next rod selected would be 8.26 and the lower boundary for the next rod selected would be  8.21. </SPAN>\n" );
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