A psychologist is interested in the effect of social media use on sleep (hours of sleep per night). They randomly assign participants to one of three groups: low social media use, medium social media use, or high social media use. During a 2 week period, they ask participants in each group to ANOVA summary table. record the number of hours they sleep each night. The mean number of hours slept per night for each group is summarized below, along with an Low use Medium use High use X 10.21 9.54 7.21 4.12 3.89 4.02 n 10 10 12 Source SS df MS Between 85.27 Wtihin (error) Total 286.84a. Finish the partially completed ANOVA summary table and provide a meaningful conclusion. (13 marks) b. If justified, perform Tukey's post hoc test and provide a meaningful conclusion. (12 marks) c. After having conducted their study, the researchers begin to question whether another variable, such as amount of caffeine, could have an impact on their results. Based on your expert knowledge of statistics, you tell the researchers, "Man, you should have conducted an ANCOVA! I've been learning all about them and they're awesome!" So the researchers reluctantly go back to analyze their data using an ANCOVA. If the results of the ANCOVA are significant, what can the researchers conclude? (2 marks)