document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187065>Question 187065</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 estimate that the standard deviation is 4.5 seconds. <BR>\n" );
document.write( "a. How many measurements should be made in order to be 95% certain that the maximum error of estimation will not exceed 1 second? <BR>\n" );
document.write( "b. What sample size is required for a maximum error of 2 seconds? \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140253 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=140253\">put this solution on YOUR website!</A><BR><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 estimate that the standard deviation is 4.5 seconds. <BR>\n" );
document.write( "a. How many measurements should be made in order to be 95% certain that the maximum error of estimation will not exceed 1 second?<BR>\n" );
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document.write( "n = [z*s/E]^2<BR>\n" );
document.write( "n = [1.96*4.5/1]^2 = 77.79..<BR>\n" );
document.write( "Rounding up: n = 78<BR>\n" );
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document.write( "b. What sample size is required for a maximum error of 2 seconds? <BR>\n" );
document.write( "n = [1.96*4.5/2]^2 = 19.45<BR>\n" );
document.write( "Rounding up: n = 20<BR>\n" );
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document.write( "Cheers<BR>\n" );
document.write( "Stan H.<BR>\n" );
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