document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207871>Question 1207871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) A one-way ANOVA test is performed on three independent samples with n1 = 6, n2 = 7, and n3 = 8. What is the critical value obtained from the F-table for this test at the 2.5% level of significance?\r<BR>\n" );
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document.write( "a) 39.45<BR>\n" );
document.write( "b) 4.56    <BR>\n" );
document.write( "c) 3.55<BR>\n" );
document.write( "d) 29.45 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846000 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=846000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "k = 3 groups<BR>\n" );
document.write( "N = n1+n2+n3 = 6+7+8 = 21\r<BR>\n" );
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document.write( "df = degrees of freedom<BR>\n" );
document.write( "df1 = k-1 = 3-1 = 2<BR>\n" );
document.write( "df2 = N-k = 21-3 = 18\r<BR>\n" );
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document.write( "You mention using an F-table, but didn't provide the actual table. <BR>\n" );
document.write( "I'll assume it looks like something found at this link<BR>\n" );
document.write( "http://socr.ucla.edu/Applets.dir/F_Table.html\r<BR>\n" );
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document.write( "I'll be using the table that has the title \"alpha = 0.025\" at the top of the table.<BR>\n" );
document.write( "Highlight the column labeled df1 = 2 at the top<BR>\n" );
document.write( "Highlight the row labeled df2 = 18 at the left side<BR>\n" );
document.write( "This row and column intersect to yield the approximate value 4.5597 which rounds to <font color=red>4.56</font><BR>\n" );
document.write( "Therefore the answer is <font color=red>option B</font>\r<BR>\n" );
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document.write( "Caution: The order of df1 and df2 is important. Swapping them will yield the wrong critical value.\r<BR>\n" );
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document.write( "Another approach is to use a calculator such as this<BR>\n" );
document.write( "https://www.danielsoper.com/statcalc/calculator.aspx?id=4\r<BR>\n" );
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document.write( "Want to use a TI83 or TI84?<BR>\n" );
document.write( "Unfortunately there isn't an inverseF function (similar how there's invNorm), but you can follow the process mentioned in this video<BR>\n" );
document.write( "https://www.youtube.com/watch?v=Bes5pTe3C6I\r<BR>\n" );
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document.write( "Want to use a spreadsheet?<BR>\n" );
document.write( "You can use a function called finv<BR>\n" );
document.write( "The template would be<BR>\n" );
document.write( "<font color=blue>=finv(area,df1,df2)</font><BR>\n" );
document.write( "So in your case you would type in<BR>\n" );
document.write( "<font color=blue>=finv(0.025,2,18)</font><BR>\n" );
document.write( "Don't forget about the equal sign up front.\r<BR>\n" );
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document.write( "Check out this page for the documentation of the finv function<BR>\n" );
document.write( "https://support.microsoft.com/en-us/office/finv-function-4d46c97c-c368-4852-bc15-41e8e31140b1\r<BR>\n" );
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document.write( "Further Reading<BR>\n" );
document.write( "https://www.statology.org/one-way-anova/<BR>\n" );
document.write( "https://www.itl.nist.gov/div898/handbook/prc/section4/prc433.htm<BR>\n" );
document.write( "</font> </SPAN>\n" );
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