Question

Consider the following computer output for a single factor experiment.

Source	DF	SS	MS	F	P-value
Factor	DF=?	117.4	39.1	F=?	P-value = ?
Error	16	396.8	MSE=?
Total	19	514.2

(a) How many levels of the factor were used in this experiment? (4 points)

(b) How many replicates of each leveal did the experimenter use? (4 points)

(c) Fill in the missing information in the ANOVA table. DF=? MSE=? F=? (6 points)

(d) Estimate the P-value (the estimated range of P-value). (3 points)

(e) What conclusions can you draw about differences in the factor-level means at α=0.05? (3 points)

Answer 1

a) 4 levels

b) 5 replicates

c)

Source	DF	SS	MS	F	P-value
Factor	3	117.4	39.1	1.5766	0.2340
Error	16	396.8	24.8
Total	19	514.2

d) p-value=0.234,

e) p-value> $\alpha$ =0.05, so we fail to reject the null hypothesis. so, there is no significant diffrence in the factor level means.