Here is an Excel ANOVA table that summarizes the results of an experiment to assess the effects of ambient noise level and plant location on worker productivity.The test used α = 0.05. The sample size is:
A) 15.
B) 10.
C) 16.
D) impossible to determine.

Question

Here is an Excel ANOVA table that summarizes the results of an experiment to assess the effects of ambient noise level and plant location on worker productivity.The test used α = 0.05.  The sample size is:
A) 15. 
B) 10. 
C) 16. 
D) impossible to determine.

Quizplus · Accepted Answer

The sample size cannot be determined from the ANOVA table alone. However, in order to conduct an ANOVA test, there must be at least three groups. The table shows two factors (ambient noise level and plant location) and their interactions, with three levels each. Therefore, the minimum sample size would be 3 x 3 x 1 = 9. However, it is possible that there were additional participants in each group, making a sample size of 16 or greater. Without more information, the best choice is C, which is the only option that includes a sample size greater than the minimum of 9.

Here Is an Excel ANOVA Table That Summarizes the Results