Question

An experiment was conducted to see the effectiveness of two antidotes to three different doses of a toxin. The antidote was given to a different sample of participants five minutes after the toxin. Twenty-five minutes later the response was measured as the concentration in the blood. What can the researchers conclude with α = 0.01?

	Dose
Antidote	5	10	15
1	0.6 1.1 1.1	2.1 1.5 6.2	3.1 4.1 5.9
2	1.1 1.2 1.1	1.7 1.3 1.5	2.1 3.1 2.1

Compute the appropriate test statistic(s) to make a decision about H₀.
Antidote: critical value =   ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Dose: critical value =   ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =   ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Answer 1

Applying 2 way ANOVA:

Source of Variation	SS	df	MS	F	P-value	F crit
Dose	6.1250	1	6.1250	4.0758	0.0664	9.3302
Antidose	16.9144	2	8.4572	5.6277	0.0189	6.9266
Interaction	4.2233	2	2.1117	1.4052	0.2829	6.9266
Within	18.0333	12	1.5028
Total	45.2961	17

Antiote:

critical value =6.9266 ; test statistic = 5.6277

Fail to reject H0

dose:  

critical value =9.3302 ; test statistic = 4.0758

Decision: Fail to reject H0

Interaction:

critical value =6.9266 ; test statistic =1.4052

Decision: Fail to reject H0