Question

 

A researcher is interested to learn if there is a relationship between the level of interaction a women in her 20s has with her mother and her life satisfaction ranking. Below is a list of women who fit into each of four level of interaction. Conduct a One-Way ANOVA on the data to determine if a relationship exists.

No Interaction	Low Interaction	Moderate Interaction	High Interaction
2	3	3	9
4	3	10	10
4	5	2	8
4	1	1	5
7	2	2	8
8	2	3	4
1	7	10	9
1	8	8	4
8	6	4	1
4	5	3	8

Answer 1

Here is the ANOVA report performed in Excel

ANOVA - Single Factor
Alpha	0.05
Groups	Count	Sum	Mean	Variance
Column 1	10	43	4.3	6.9
Column 2	10	42	4.2	5.5111111111
Column 3	10	46	4.6	11.6
Column 4	10	66	6.6	8.4888888889
Source of Variation	SS	df	MS	F	P-value	F critical
Between Groups	38.275	3	12.7583333333	1.5702564103	0.2134340383	2.8662655509
Within Groups	292.5	36	8.125
Total	Err:508	39

According this ANOVA, since p-value = 0.21 which is less than alpha=0.05, hence the differences between the means is not significantly different. Hence we do not have enough evidence to reject the null- hypothesis.