Question

In testing a new drug, we obtained the following results:

Placebo	Drug A	Drug B	Drug C
3	4	6	5
0	3	3	4
2	1	4	3
0	1	3	2
0	1	4	1

Run the ANOVA and fill in the summary table with the results obtained:

	SS	df	MS	F-ratio	p-value
Between		3
Within		16
TOTAL		19

(Report P-value & F-ratio accurate to 3 decimal places and all other values accurate to 2 decimal places.)

What conclusion can be drawn at the 0.1 significance level?

• The various drugs do not have results that are statistically different.
• The various drugs have results that are statistically different.

Answer 1

Summary of Data
	Treatments
1	2	3	4	5	Total
N	5	5	5	5		20
∑X	5	10	20	15		50
Mean	1	2	4	3		2.5
∑X2	13	28	86	55		182
Std.Dev.	1.4142	1.4142	1.2247	1.5811		1.7321

Result Details
Source	SS	df	MS
Between-treatments	25.00	3	8.33	F = 4.167
Within-treatments	32.00	16	2.00
Total	57.00	19

The f-ratio value is 4.167. The p-value is .023282. The result is significant at p < .10.

Conclusion

The various drugs have results that are statistically different