document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=482955>Question 482955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me, I submitted a question and ot no answer.\r<BR>\n" );
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document.write( "A machine puts plastic into sheets that are 30 feet(360 inches)long. Assume that the population of lengths is normally distrubuted. Complete parts (a) and (b)\r<BR>\n" );
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document.write( "a) The company wants to estimate the mean length the machine is cutting the plastic within 0.25 inc.  Determine the minimum sample sia required to construct a 95% confidence interval for the population mean.  Assume the population standard deviation is 0.50 inch.\r<BR>\n" );
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document.write( "n=<BR>\n" );
document.write( "b) Repeat part (a) using an error tolerance of 0.125 inc.<BR>\n" );
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document.write( "Which error tolerane requires a larger sample size? Explain.\r<BR>\n" );
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document.write( "A The tolerance E= 0.125 inch requires a larger sample size. As error size increases, a larger sample must be taken to ensure the desired acuracy.<BR>\n" );
document.write( "B. The tolerance E=0.25 inch requires a larger sample size. As erro size increases a larger sample must be taken to ensure the desired accuracy.\r<BR>\n" );
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document.write( "C. The tolerance E=0.25 inch requires a larger sample size.  As error size<BR>\n" );
document.write( "decreases, a larger sample must be taken to ensure the desired accuracy.\r<BR>\n" );
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document.write( "D. The tolerance E = 0.125 inch requires a larger sample size.  As error size decreases, a larger sample must be taken to ensure the desired accuracy. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330606 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=330606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A machine puts plastic into sheets that are 30 feet(360 inches)long. Assume that the population of lengths is normally distrubuted. <BR>\n" );
document.write( "Complete parts (a) and (b)<BR>\n" );
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document.write( "a) The company wants to estimate the mean length the machine is cutting the plastic within 0.25 inc. Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 0.50 inch.<BR>\n" );
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document.write( "n= [z*s/E]^2<BR>\n" );
document.write( "n = [1.96*0.50/0.25]^2<BR>\n" );
document.write( "n = 16 when rounded up<BR>\n" );
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document.write( "b) Repeat part (a) using an error tolerance of 0.125 inc.<BR>\n" );
document.write( "n= {1.96*0.50/0.125]^2  <BR>\n" );
document.write( "n = 62 when rounded up<BR>\n" );
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document.write( "Which error tolerance requires a larger sample size? Explain. <BR>\n" );
document.write( "A The tolerance E= 0.125 inch requires a larger sample size. As error size increases, a larger sample must be taken to ensure the desired acuracy.<BR>\n" );
document.write( "B. The tolerance E=0.25 inch requires a larger sample size. As erro size increases a larger sample must be taken to ensure the desired accuracy. <BR>\n" );
document.write( "C. The tolerance E=0.25 inch requires a larger sample size. As error size<BR>\n" );
document.write( "decreases, a larger sample must be taken to ensure the desired accuracy. <BR>\n" );
document.write( "D. The tolerance E = 0.125 inch requires a larger sample size. As error size decreases, a larger sample must be taken to ensure the desired accuracy.<BR>\n" );
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document.write( "Answer: D ; Error size and sample size are indirectly related.<BR>\n" );
document.write( "As the amount of allowed error decreases the sample size must rise.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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