1. An experiment has a single factor with nine groups and six values in each group.

a. How many degrees of freedom are there in determining the among-group variation?___________

b. How many degrees of freedom are there in determining the within-group variation?________

c. How many degrees of freedom are there in determining the total variation?_________

Question content area bottom

Part 1

a. There is/are____________degree(s) of freedom in determining the among-group variation.

(Simplify your answer.)

Part 2

b. There is/are________degree(s) of freedom in determining the within-group variation.

(Simplify your answer.)

Part 3

c. There is/are___________degree(s) of freedom in determining the total variation.

(Simplify your answer.)

2. 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 determining the total variation, there are 20 degrees of freedom. Also, note that SSA=192, SSW=112, SST=304, MSA=32,

MSW=8, and FSTAT=4.

Complete parts (a) through (d).

Construct the ANOVA summary table and fill in all values in the table.

Source Degrees of Freedom Sum of Squares Mean Square (Variance) F

Among Groups __________________ _______________ __________________________ _____________

Within Groups ________________ _________________ _______________________

Total ________________ ______________________

(Simplify Answers)

At the 0.01 level of significance, what is the upper-tail critical value from the F distribution?

b. F0.01=_____________

(Round to two decimal places as needed.)

Part 3

c. State the decision rule for testing the null hypothesis that all

seven groups have equal population means.

Reject H0 if(1)____________

Part 4

d. What is your statistical decision?

Since FSTAT is (2)_________ than the upper-tail critical value, (3)____________ H0. There is (4)______________evidence to conclude there is a difference in the population means for the seven groups.

1: Critical values of F for a significance level 0.05

2: Critical values of F for a significance level 0.025

3: Critical values of F for a significance level 0.01

4: Critical values of F for a significance level 0.005

(1) _____ FSTAT<4. ______FSTAT>4.46. ___________ FSTAT<4.46.

_____7.604.

_____4

______4.467.60.

(2)

_________greater

__________less

(3)

__________do not reject

_________reject

(4)

_________sufficient

___________insufficient