http://www.ck12.org Chapter 11. Analysis of Variance and the F-Distribution
- Using aα=.05, please use theF-distribution to set a critical value
- What decision would you make regarding the null hypothesis? Why?
Review Answers
- Analysis of Variance
- Increase or increase exponentially
3.C
4.E,A,D,B,C
5.H 0 :μ 1 =μ 2 =μ 3
TABLE11.5:
Ms. Jones Mr. Smith Mrs. White Totals
Number(nk) 10 9 8 = 27
Total(Tk) 109 131 137 = 377
Mean(X ̄) 10. 9 14. 6 17. 1 = 5 , 264
Sum of Squared
Obs.(∑ni=k 1 Xik^2 )1 , 339 2 , 113 2 , 529 = 5 , 981
Sum of Obs.
Squared/Number of
Obs.(T 2
k
nk)
1 , 188 1 , 907 2 , 346 = 5 , 441
7. 26. 35
8. 4. 03
9. 6. 54
10. 3. 40
- The calculated test statistic exceeds the critical value so we would reject the null hypothesis. Therefore, we
could conclude that not all the population means are equal.