document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202981>Question 1202981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP PLS 12-1<BR>\n" );
document.write( "What is the critical F-value when the sample size for the numerator is sixteen and the sample size for the denominator is ten? Use a two-tailed test and the 0.02 significance level. (Round your answer to 2 decimal places.)\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 #838426 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the two tailed f-test compares the variances of 2 samples to see if they are equal.<BR>\n" );
document.write( "the numerator in the f-test is the sample that has the greatest variation.<BR>\n" );
document.write( "i don't see variations here, so that's a problem for you to find.\r<BR>\n" );
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document.write( "since we are dealing with a two tail test, then we have to take half of the significance level, making it equal to .01<BR>\n" );
document.write( "that's the significance level to use for the f-test.<BR>\n" );
document.write( "we'll make some assumption since we don't know who has the greatest variation.\r<BR>\n" );
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document.write( "if we assume sample 1 has the greatest variation, then sample 1 is the numerator ande sample 2 is the denominator and the critical f-value will be found with sample 1 degrees of freedom in the numerator and sample 2 degrees of freedom in the denominator.\r<BR>\n" );
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document.write( "degrees of freedom is sample size minus 1.<BR>\n" );
document.write( "therefore dof sample  1 = 16 minus 1 = 15 and doc sample 2 = dof sample 2 = 10 minus 1 = 9.<BR>\n" );
document.write( "the critical f-value will be f(15/9) = 4.96207836\r<BR>\n" );
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document.write( "here's what that looks like in the calcuator found at <a  rel=nofollow HREF= \"https://www.danielsoper.com/statcalc/calculator.aspx?id=4\" target = \"_blank\">https://www.danielsoper.com/statcalc/calculator.aspx?id=4</a><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/072521.jpg\">\r<BR>\n" );
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document.write( "if we assume sample 2 has the greatest variation, then sample 2 is the numerator and sample 1 is the denominator and the critical f-value will be found with sample 2 degrees of freedom in the numerator and sample 1 degrees of freedom in the denominator.\r<BR>\n" );
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document.write( "since degrees of freedom = sample size minus 1, then dof sample  1 = 16 minus 1 = 15 and dof sample 2 = 10 minus 1 = 9.<BR>\n" );
document.write( "the critical f-value will be f(9/15)) = 3.89478811.\r<BR>\n" );
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document.write( "here's what that looks like in the calcuator found at <a  rel=nofollow HREF= \"https://www.danielsoper.com/statcalc/calculator.aspx?id=4\" target = \"_blank\">https://www.danielsoper.com/statcalc/calculator.aspx?id=4</a><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/072522.jpg\">\r<BR>\n" );
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document.write( "here's the reference that i used to help me answer this question.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.youtube.com/watch?v=MLhSGiAxhVk&list=RDCMUCs3IhN8VOA_5WxpAgbSmFkg&index=2\" target = \"_blank\">https://www.youtube.com/watch?v=MLhSGiAxhVk&list=RDCMUCs3IhN8VOA_5WxpAgbSmFkg&index=2</a>\r<BR>\n" );
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document.write( "she use the critical f-test valueu table rather than the calculator that i used.\r<BR>\n" );
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document.write( "the table is found at <a href  \"http://www.socr.ucla.edu/Applets.dir/F_Table.html\" target = \"_blank\">http://www.socr.ucla.edu/Applets.dir/F_Table.html</a>\r<BR>\n" );
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document.write( "here's the part of the table that deals with .01 significance level.<BR>\n" );
document.write( "the values in the table for 15/9 and 9/15 agree with the calculator results.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/072523.jpg\">\r<BR>\n" );
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document.write( "the numerator is the column number and the denominator is the number.<BR>\n" );
document.write( "f(15/9) is in column 15 row 9<BR>\n" );
document.write( "f(9/15) is in column 9 row 15\r<BR>\n" );
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document.write( "i'm pretty sure this is correct after looking at the refeence.<BR>\n" );
document.write( "i am, however, still learning about f-test and anovas, so keep that in mind when looking at the solution.\r<BR>\n" );
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document.write( "my instructor has been the videos on youtube.com<BR>\n" );
document.write( "the ones by brandon foltz and david longstreet and professor essa have been phelpful for me.<BR>\n" );
document.write( "thee are others on youtube as well that i haven't gone through.<BR>\n" );
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