document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=234358>Question 234358</A>: <I><SPAN STYLE=\"word-break: break-all;\"> As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution is?\r<BR>\n" );
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document.write( "For a one-tailed test (lower tail), a sample size of 15 at 95% confidence, t =\r<BR>\n" );
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document.write( "For a one-tailed test (upper tail), a sample size of 16 at 90% confidence, t =\r<BR>\n" );
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document.write( "A two-tailed test is performed at 95% confidence. The p-value is determined to be 0.09. The null hypothesis is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172807 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=172807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution is?<BR>\n" );
document.write( "As n increases the difference gets smaller.<BR>\n" );
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document.write( "For a one-tailed test (lower tail), a sample size of 15 at 95% confidence, <BR>\n" );
document.write( "t = invT(0.05,14) = -1.7613<BR>\n" );
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document.write( "For a one-tailed test (upper tail), a sample size of 16 at 90% confidence, <BR>\n" );
document.write( "t = invT(0.95,15) = 1.7531<BR>\n" );
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document.write( "A two-tailed test is performed at 95% confidence. The p-value is determined to be 0.09. The null hypothesis is<BR>\n" );
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document.write( "Fail to reject Ho.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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