document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=759866>Question 759866</A>: <I><SPAN STYLE=\"word-break: break-all;\">     <BR>\n" );
document.write( "            a.<BR>\n" );
document.write( "        A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. Determine the 95% confidence interval estimate of the population mean.<BR>\n" );
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document.write( "        b.<BR>\n" );
document.write( "        Repeat part (a) with a sample size of 100.<BR>\n" );
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document.write( "      <BR>\n" );
document.write( "        c.<BR>\n" );
document.write( "        Repeat part (a) with a sample size of 400.<BR>\n" );
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document.write( "      <BR>\n" );
document.write( "        d.<BR>\n" );
document.write( "        Describe what happens to the confidence interval estimate when the sample size increases.\r<BR>\n" );
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document.write( "        a.<BR>\n" );
document.write( "        A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. Determine the 95% confidence interval estimate of the population mean.<BR>\n" );
document.write( "      <BR>\n" );
document.write( "      <BR>\n" );
document.write( "        b.<BR>\n" );
document.write( "        Repeat part (a) with a sample size of 100.<BR>\n" );
document.write( "      <BR>\n" );
document.write( "      <BR>\n" );
document.write( "        c.<BR>\n" );
document.write( "        Repeat part (a) with a sample size of 400.<BR>\n" );
document.write( "      <BR>\n" );
document.write( "      <BR>\n" );
document.write( "        d.<BR>\n" );
document.write( "        Describe what happens to the confidence interval estimate when the sample size increases.\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 #462271 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=462271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.<BR>\n" );
document.write( "A random sample of 25 was drawn from a normal distribution with a standard deviation of 5. The sample mean is 80. Determine the 95% confidence interval estimate of the population mean.<BR>\n" );
document.write( "ME = 1.96 = 1.96<BR>\n" );
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document.write( "95% CI: 80-1.96 < u < 80+1.96<BR>\n" );
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document.write( "b.<BR>\n" );
document.write( "Repeat part (a) with a sample size of 100.<BR>\n" );
document.write( "ME = 1.96 = 1.96*1/2 = 0.98<BR>\n" );
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document.write( "95% CI: 80-0.98 < u < 80+0.98<BR>\n" );
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document.write( "c.<BR>\n" );
document.write( "Repeat part (a) with a sample size of 400.<BR>\n" );
document.write( "I'll leave that to you.<BR>\n" );
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document.write( "d.<BR>\n" );
document.write( "Describe what happens to the confidence interval estimate when the sample size increases.<BR>\n" );
document.write( "The interval gets smaller.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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