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An experiment has a single factor with five groups and three values in each group. In...

An experiment has a single factor with five groups and three values in each group. In determining the​ among-group variation, there are 4 degrees of freedom. In determining the​ within-group variation, there are 20 degrees of freedom. In determining the total​ variation, there are 24 degrees of freedom.​ Also, note that SSA= 96, SSW=160, SST=256, MSA=24, MSW=8, and FSTAT=3.

Complete parts​ (a) through​ (d).Click here to view page 1 of the F table.

a. 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 your​ answers.)

b. At the 0.005 level of​ significance, what is the​ upper-tail critical value from the F​ distribution?

F0.005=_________

​(Round to two decimal places as​ needed.)

c. State the decision rule for testing the null hypothesis that all five groups have equal population means.

Reject H0 if ______________

d. What is your statistical​ decision?

Since FSTAT is _____ (less/more) than the​ upper-tail critical​ value, ______ (do not reject/reject) H0. There is _______ (insufficient/sufficient) evidence to conclude there is a difference in the population means for the five groups.

Math   Statistics-And-Probability   
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