An experiment has a single factor with seven groups and three values in each gro

Question

An experiment has a single factor with seven groups and three values in each group. In determining the among-group variation, there are 6 degrees of freedom. In determining the within-group variation, there are 14 degrees of freedom. In the determining the total variation, there are 20 degrees of freedom. Also there are 20 degree of freedom. Also note that SSA=84, SSW=98, SST=182, MSA= 14, MSW=7, and Fstat=2.


a. Construct the ANOVA summary table and fill in all values in the table. Degrees of Sum of Mean Square Source Freedom Squares (variance) Among groups L Within groups, Total (Simplify your answers.) b. At the 0.025 level of significance, what is the upper-tail critical value from the F distribution? 0.025 (Round to two decimal places as needed.) Fo

Explanation / Answer

b)F0.025 =3.50

c) reject Ho if Fstat>3.50

d) since F stat is less then ........; fail to reject Ho, there is insufficient evidence

Source of variation df sum of sq mean square F among groups 6.000 84 14.000 2.000 with in groups 14.000 98 7.000 total 29.000 182

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