A sleeping specialist investigated the impact of watching TV and using computers

Question

A sleeping specialist investigated the impact of watching TV and using computers before bedtime, on sleep onset. He obtained 30 college student volunteers and randomly assigned them to three equally sized groups: (1) work on a computer for 30 minutes before going to bed (group 1), (2) watch TV for 30 minutes before going to bed (group 2), and (3) don’t work on a computer or watch TV before bedtime (group 3). He then measured time to sleep onset (in minutes), finding means for the three groups, respectively, of 19.60, 17.40, and 5.30. Given the ANOVA summary table, = 0.65, and HSD = 5.32, write a four-point interpretation of the results using = .05.

Four groups are being compared in a one-factor ANOVA. Each group has 10 subjects. MSwithin = 77.89 and dfwithin = 36. The F ratio was statistically significant with = 05. Use this information to determine if there are differences between these two means: M1 = 29 and M2 = 18. Explain why you chose the approach you used.

****Please Explain every step and solve thoroughly showing every step.****

Sources SS df MS F Between groups 1185.80 2 592.90 25.78 Within groups 620.90 27 23 Total 1806.70 29

Explanation / Answer

Here we have Tukey's HSD = 5.32

The absolute difference between M1 and M2 is M1-M2 = 29- 18= 11

Since difference in greater than HSD , that is |M1-M2| > (HSD = 5.32) so this difference between the means is significant.

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