The ACT standardized college admission test was given in three rooms at a local testing site. A complaint was filed that one of the testing conditions of each room were not the same and caused a difference of scores. You have been asked to provide a statistical analysis to support or refute the claim. Determine your hypotheses, run the appropriate test, and provide the appropriate conclusion.
The scores from each of the three rooms were:
Room A Room B Room C
21 27 19
16 34 14
24 29 22
27 21 15
22 17 16
19 30 13
34 22 17
14 16 17
26 22 27
36 19 12