A sleep researcher conducts an experiment where she randomly assigns 60 participants to receive one of three levels of sleep deprivation, sleep deprived for 24 hours (SD24), sleep deprived for 48 hours (SD48), and no sleep deprivation (SD0). After the experimental condition (sleep deprivation), the participants are given an auditory vigilance task and the correct percentages are calculated. The means for the three groups are SD0=76.6, SD24=61.8, SD48=48.6. The ANOVA F test had a p-value=.003. What is your statistical conclusion based on the ANOVA hypotheses?

a. The group with the most sleep deprivation had a lower mean than the other two groups.

b. The mean for the non-sleep deprived group performed significantly better than the other two groups.

c. The mean for the SD0 group was significantly greater than the mean for the SD24 group which was significantly greater than the mean for the SD48 group

d. The means for the three conditions were not all equal