document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=336344>Question 336344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain manufacturing process, the diameter of holes drilled in a steel plate is a normally<BR>\n" );
document.write( "distributed random variable. The process standard deviation is known to be &#963;=0.005 cm.A sample<BR>\n" );
document.write( "of 15 plates shows a mean hole diameter of 2.475 cm. Find the 95 percent confidence interval for &#956;. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241114 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=241114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  In a certain manufacturing process, the diameter of holes drilled in a steel plate is a normally distributed random variable.<BR>\n" );
document.write( "The process standard deviation is known to be &#963;=0.005 cm.<BR>\n" );
document.write( "A sample of 15 plates shows a mean hole diameter of 2.475 cm. <BR>\n" );
document.write( "Find the 95 percent confidence interval for &#956;.<BR>\n" );
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document.write( "x-bar = 2.475 <BR>\n" );
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document.write( "E = invT(0.025 with df = 14) = 0.0028<BR>\n" );
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document.write( "95% CI: 2.475- 0.0028 < u < 2.475+ 0.0028<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(2.4722,2.4778)<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );