Question

An experiment has a sinale factor with 3 aroups and 5 values in each aroup. In determining the among-group variation, there are 2 degrees of freedom. In determining the within-group variation, there are12 degrees of freedom In determining the total variation, there are14degrees of freedom. Also, note that SSA = 42 SsW 84, SST= 126, MSA = 21, MSW = 7, and FSTAT = 3. Complete parts (a) through (d). a. Construct the ANOVA summary table and fill in all values in the table. Degrees of Freedom Mean Square (Variance) Sum of Source Squares Among groups Within groups Total (Simplify your answers.) b. At the 0.01 level of significance, what is the upper-tail critical value from the F distribution? F0.01 (Round two decimal places as needed.) c. State the decision rule for testing the null hypothesis that all five groups have equal population means. Reject Ho if d. What is your statistical decision? Since FSTAT is than the upper-tail critical value, Ho There is evidence to conclude there is a difference in the population means for the five groups

Answer 1

a)

Source	df	SS	MS	F
among	2	42	21	3.00
within	12	84	7
total	14	126

b)
F0.01 =6.93

c)

Reject Ho if F>6.93

d)

since F stat is not higher than the upper tail,,,, fail to reject Ho, there is not enough evidence to conclude that there is a difference,,,,,,,,,