document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=482419>Question 482419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that a sample is drawn and z(&#945;/2) = 1.65 and &#963; = 25.  Answer the following questions:<BR>\n" );
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document.write( "(A)If the Maximum Error of Estimate is 0.04 for this sample, what would be the sample size?<BR>\n" );
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document.write( "(B)Given that the sample Size is 400 with this same z(&#945;/2) and &#963;, what would be the Maximum Error of Estimate?<BR>\n" );
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document.write( "(C)What happens to the Maximum Error of Estimate as the sample size gets larger?<BR>\n" );
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document.write( "(D)What effect does the answer to C above have to the size of the confidence interval?\r<BR>\n" );
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document.write( "Thank you<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 #330275 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=330275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that a sample is drawn and z(&#945;/2) = 1.65 and &#963; = 25. Answer the following questions:\r<BR>\n" );
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document.write( "(A)If the Maximum Error of Estimate is 0.04 for this sample, what would be the sample size?<BR>\n" );
document.write( "ME = z[s/sqrt(n)]<BR>\n" );
document.write( "1.65*25/sqrt(n) = 0.04<BR>\n" );
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document.write( "sqrt(n) = 1.65*25/0.04<BR>\n" );
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document.write( "n = [1.65*25/0.04]^2<BR>\n" );
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document.write( "n = 1,063,477 when rounded up\r<BR>\n" );
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document.write( "(B)Given that the sample Size is 400 with this same z(&#945;/2) and &#963;, what would be the Maximum Error of Estimate?<BR>\n" );
document.write( "ME = 1.65*25/sqrt(400) = 2.0625<BR>\n" );
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document.write( "(C)What happens to the Maximum Error of Estimate as the sample size gets larger?<BR>\n" );
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document.write( "ME and sample size are indirectly related<BR>\n" );
document.write( "ME gets smaller as n get larger.<BR>\n" );
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document.write( "(D)What effect does the answer to C above have to the size of the confidence interval? <BR>\n" );
document.write( "As n gets larger the confidence interval gets smaller.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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