document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193824>Question 1193824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Two-Way ANOVA Summary Table is shown below.<BR>\n" );
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document.write( "SS d.f.  MS  F<BR>\n" );
document.write( "Factor A 9.42 2 4.71 2.77<BR>\n" );
document.write( "Factor B 15.10 2 7.55 4.44<BR>\n" );
document.write( "Interaction A x B 10.34 4 2.58 1.52<BR>\n" );
document.write( "Within (error) 45.90 27 1.7<BR>\n" );
document.write( " Total 80.75 35<BR>\n" );
document.write( " The critical value for the F test using = 0.05, d.f.N. = 2, and d.f.D = 27 is 3.35. Then,\r<BR>\n" );
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document.write( "A. only the null hypothesis concerning Factor A should be rejected.<BR>\n" );
document.write( "B.only the null hypothesis concerning Factor B should be rejected.<BR>\n" );
document.write( "C. only the null hypothesis concerning Factor A and the Interaction (AxB) effect should be rejected.<BR>\n" );
document.write( "D. all of the null hypotheses should be accepted. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848565 by </B><A HREF=/tutors/aboutme.mpl?userid=parmen><B>parmen(42)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=parmen><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=848565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **1. Understand the Null Hypotheses**\r<BR>\n" );
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document.write( "* **Factor A:** There is no significant main effect of Factor A on the dependent variable.<BR>\n" );
document.write( "* **Factor B:** There is no significant main effect of Factor B on the dependent variable.<BR>\n" );
document.write( "* **Interaction (A x B):** There is no significant interaction effect between Factor A and Factor B on the dependent variable.\r<BR>\n" );
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document.write( "**2. Compare F-statistics to Critical Value**\r<BR>\n" );
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document.write( "* **Factor A:** F = 2.77 <BR>\n" );
document.write( "* **Factor B:** F = 4.44<BR>\n" );
document.write( "* **Interaction (A x B):** F = 1.52<BR>\n" );
document.write( "* **Critical Value:** F = 3.35\r<BR>\n" );
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document.write( "* **Decision Rule:** Reject the null hypothesis if the calculated F-statistic is greater than the critical value.\r<BR>\n" );
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document.write( "**3. Make Decisions**\r<BR>\n" );
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document.write( "* **Factor A:** 2.77 < 3.35. **Do not reject the null hypothesis.**<BR>\n" );
document.write( "* **Factor B:** 4.44 > 3.35. **Reject the null hypothesis.** <BR>\n" );
document.write( "* **Interaction (A x B):** 1.52 < 3.35. **Do not reject the null hypothesis.**\r<BR>\n" );
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document.write( "**Conclusion:**\r<BR>\n" );
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document.write( "* **Only the null hypothesis concerning Factor B should be rejected.**\r<BR>\n" );
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document.write( "**Therefore, the correct answer is B.** \r<BR>\n" );
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document.write( "This means there is sufficient evidence to suggest that Factor B has a significant main effect on the dependent variable, while the main effect of Factor A and the interaction effect between A and B are not statistically significant at the 0.05 level.<BR>\n" );
document.write( " </SPAN>\n" );
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