document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701827>Question 701827</A>: <I><SPAN STYLE=\"word-break: break-all;\">  By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 3.18 seconds.\r<BR>\n" );
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document.write( "(A) How many measurements should be made in order to be 98% certain that the maximum error of estimation will not exceed 2.0 seconds?<BR>\n" );
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document.write( "(B) What sample size is required for a maximum error of 1.0 seconds\r<BR>\n" );
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document.write( "Please walk me through this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432606 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=432606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  the standard deviation is 3.18 seconds. <BR>\n" );
document.write( "(A) How many measurements should be made in order to be 98% certain that the maximum error of estimation will not exceed 2.0 seconds?<BR>\n" );
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document.write( "Since E = z*s/sqrt(n), <BR>\n" );
document.write( "n = [z*s/E]^2<BR>\n" );
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document.write( "Also, 98% confidence has a left tail of 1% and a right tail of 1%<BR>\n" );
document.write( "-invNorm(0.01) = 2.3263<BR>\n" );
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document.write( "Your Problem:<BR>\n" );
document.write( "n = [2.3263*3.18/2]^2 = 14 when rounded up<BR>\n" );
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document.write( "(B) What sample size is required for a maximum error of 1.0 seconds<BR>\n" );
document.write( "n = [2.3263*3.18/1]^2 = 55 when rounded up<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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