Question

______________________________

Sleep deprived              Well Rested   

3 5 2 3 7                   3 1 2 2 1

6 1 9 2 11                  1 2 3 3 5

10 3 3 5 4                  2 3 1 3 2

19. Researchers compared the reaction times in people who were sleep deprived versus people who had gotten a full night's rest. The following are typical data showing the reaction time scores (in seconds) for two groups (samples) of participants. (8 points)
    1. Compute the mean, the range, the variance, and the standard deviation for each group.
    2. Is one group of scores more variable than the other?

Answer 1

Sleep deprived:

Mean = 4.93

Variance = 8.862

SD = 2.977

Range = 1 to 11

Well Rested:

Mean = 2.267

Variance = 1.129

SD = 1.063

Range = 1 to 5

As suggested by standard deviation values, the scores for sleep deprived group are more variable than that for well rested group