1. State the research hypothesis (non-directional) and the null hypothesis. Make sure you include both DV and...

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1. State the research hypothesis(non-directional) and the null hypothesis. Makesure you include both DV and IV in the hypotheses from #1 above
2.According to the post-hoc results table, which pairs of thecottages do show the statistically significant difference in“Number of traumas experienced” (e.g. “Cottage A vs. B”)?
SPSS Dataset
SPSS Data for HW (500 cases).sav (available in Canvas)
Variable Names in the dataset
cottage: Cottage assignment (Cottage A, B, & C)
trauma: Number of traumas experienced
Descriptives
Number of traumas experienced
N
Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Minimum
Maximum
Lower Bound
Upper Bound
Cottage A
170
1.88
.902
.069
1.75
2.02
1
4
Cottage B
170
1.59
.494
.038
1.51
1.66
1
2
Cottage C
160
4.75
2.736
.216
4.32
5.18
2
10
Total
500
2.70
2.177
.097
2.51
2.89
1
10
Test of Homogeneity ofVariances
Number of traumas experienced
Levene Statistic
df1
df2
Sig.
318.765
2
497
.000
Robust Tests of Equality ofMeans
Number of traumas experienced
Statistic^a
df1
df2
Sig.
Welch
106.654
2
268.787
.000
a. Asymptotically F distributed.
MultipleComparisons
Dependent Variable: Number of traumasexperienced
(I) Cottage
(J) Cottage
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
Bonferroni
Cottage A
Cottage B
.294
.180
.309
-.14
.73
Cottage C
-2.868^*
.183
.000
-3.31
-2.43
Cottage B
Cottage A
-.294
.180
.309
-.73
.14
Cottage C
-3.162^*
.183
.000
-3.60
-2.72
Cottage C
Cottage A
2.868^*
.183
.000
2.43
3.31
Cottage B
3.162^*
.183
.000
2.72
3.60
Games-Howell
Cottage A
Cottage B
.294^*
.079
.001
.11
.48
Cottage C
-2.868^*
.227
.000
-3.40
-2.33
Cottage B
Cottage A
-.294^*
.079
.001
-.48
-.11
Cottage C
-3.162^*
.220
.000
-3.68
-2.64
Cottage C
Cottage A
2.868^*
.227
.000
2.33
3.40
Cottage B
3.162^*
.220
.000
2.64
3.68
*. The mean difference is significantat the 0.05 level.

Answer & Explanation Solved by verified expert

4.2 Ratings (843 Votes)

1 Null hypothesis The mean number of traumas experienced is the same for all three cottages A B and C Alternative hypothesisnondirectional The mean number of traumas experienced is different for atleast one pair from See Answer

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SPSS Dataset	SPSS Data for HW (500 cases).sav (available in Canvas)
Variable Names in the dataset	cottage: Cottage assignment (Cottage A, B, & C)
Variable Names in the dataset	trauma: Number of traumas experienced

Descriptives
Number of traumas experienced
	N	Mean	Std. Deviation	Std. Error	95% Confidence Interval for Mean		Minimum	Maximum
	N	Mean	Std. Deviation	Std. Error	Lower Bound	Upper Bound	Minimum	Maximum
Cottage A	170	1.88	.902	.069	1.75	2.02	1	4
Cottage B	170	1.59	.494	.038	1.51	1.66	1	2
Cottage C	160	4.75	2.736	.216	4.32	5.18	2	10
Total	500	2.70	2.177	.097	2.51	2.89	1	10

Test of Homogeneity ofVariances
Number of traumas experienced
Levene Statistic	df1	df2	Sig.
318.765	2	497	.000

Robust Tests of Equality ofMeans
Number of traumas experienced
	Statistic^a	df1	df2	Sig.
Welch	106.654	2	268.787	.000
a. Asymptotically F distributed.

MultipleComparisons
Dependent Variable: Number of traumasexperienced
	(I) Cottage	(J) Cottage	Mean Difference (I-J)	Std. Error	Sig.	95% Confidence Interval
	(I) Cottage	(J) Cottage	Mean Difference (I-J)	Std. Error	Sig.	Lower Bound	Upper Bound
Bonferroni	Cottage A	Cottage B	.294	.180	.309	-.14	.73
	Cottage A	Cottage C	-2.868^*	.183	.000	-3.31	-2.43
	Cottage B	Cottage A	-.294	.180	.309	-.73	.14
	Cottage B	Cottage C	-3.162^*	.183	.000	-3.60	-2.72
	Cottage C	Cottage A	2.868^*	.183	.000	2.43	3.31
	Cottage C	Cottage B	3.162^*	.183	.000	2.72	3.60
Games-Howell	Cottage A	Cottage B	.294^*	.079	.001	.11	.48
	Cottage A	Cottage C	-2.868^*	.227	.000	-3.40	-2.33
	Cottage B	Cottage A	-.294^*	.079	.001	-.48	-.11
	Cottage B	Cottage C	-3.162^*	.220	.000	-3.68	-2.64
	Cottage C	Cottage A	2.868^*	.227	.000	2.33	3.40
	Cottage C	Cottage B	3.162^*	.220	.000	2.64	3.68
*. The mean difference is significantat the 0.05 level.