Asleep deprivation researcher randomly assigned 15 participants to one of three conditions: 12 hours without sleep, 24 hours without sleep, or 36 hours without sleep. following the manipulation, participants completed a measure of negative mood. mood scores for each group are listed below. using the .05 level, was there a significant difference in negative mood depending on length of sleep deprivation? be sure to include a report to determine if/how the groups are different.

12-hour 24-hour 36-hour

10 9 21

8 12 18

6 15 17

9 13 15

5 10 18

a) complete the five steps of hypothesis testing by hand (i. e., hand calculate) for this statistical test.
b) give an interpretation of this data and report the statistics.
c) explain how you hand calculated this statistic. in your explanation, be sure to use the names of the concepts. do not simply say