Question

A researcher conducts a study of the effects of amount of sleep on creativity. The creativity scores for four levels of sleep (2 hours, 4 hours, 6 hours, and 8 hours) for N 20 participants are presented here. Amount of Sleep (in hours) 2 4 6 8 3 4 10 10 5 7 11 13 6 8 13 10 4 3 9 9 2 2 10 10

Answer 1

The hypothesis being tested is:

H0: µ1 = µ2 = µ3 = µ4

Ha: At least one means is not equal

	Mean	n	Std. Dev
	4.0	5	1.58	Group 1
	4.8	5	2.59	Group 2
	10.6	5	1.52	Group 3
	10.4	5	1.52	Group 4
	7.5	20	3.58	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	187.75	3	62.583	18.14	2.12E-05
Error	55.20	16	3.450
Total	242.95	19

The p-value is 0.0000.

Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there are effects of the amount of sleep on creativity.