Question

Use this table to answer the following questions:

	Text Message	X2	Video Chat	X2	Phone Conversation	X2
	3		10		6
	3		9		5
	5		8		6
	6		8		6
	4		9		7
	3		8		4
	4		6		5
	2		7		6
	5		7		3
	4		10		6
n							N
ΣX							ΣΣX
X							(ΣΣX)2/N
Σ(X2)							ΣΣ(X2)
(ΣX)2/n							Σ(ΣX)2/n

Write up your results as you would see them in a research paper. Be sure that you include the means and standard deviations for each group in your write-up, as well as a sentence or two explaining the results! See the powerpoint for help with this. You do not need to calculate or include the post-hoc test here.

Answer 1

The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: Not all means are equal

Text Message	X2	Video Chat	X2	Phone Conversation	X2
3	9	10	100	6	36
3	9	9	81	5	25
5	25	8	64	6	36
6	36	8	64	6	36
4	16	9	81	7	49
3	9	8	64	4	16
4	16	6	36	5	25
2	4	7	49	6	36
5	25	7	49	3	9
4	16	10	100	6	36
	Mean	n	Std. Dev
	3.9	10	1.20	Text Message
	8.2	10	1.32	Video Chat
	5.4	10	1.17	Phone Conversation
	5.8	30	2.17	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	95.27	2	47.633	31.44	8.88E-08
Error	40.90	27	1.515
Total	136.17	29
Tukey simultaneous comparison t-values (d.f. = 27)
		Text Message	Phone Conversation	Video Chat
		3.9	5.4	8.2
Text Message	3.9
Phone Conversation	5.4	2.73
Video Chat	8.2	7.81	5.09
critical values for experimentwise error rate:
		0.05	2.49
		0.01	3.18

The p-value is 0.000.

Since the p-value (0.000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a significant difference between means.