In: Psychology
Independent-Samples t Test
A researcher had participants sit in a “waiting area” prior to participating in a study. In the waiting area was an attractive or unattractive woman sitting in one of the chairs. In fact, the same woman was present in the waiting area and manipulated to look either attractive or unattractive (relatively speaking). The woman was a confederate in the study, meaning that, unbeknownst to participants, she was a co-researcher in the study. Participants were asked to sit in the waiting area until called upon. One group waited in the room with the attractive confederate; the other group waited in the room with the unattractive confederate. The distance (in feet) that participants sat from the confederate was considered a measure of attraction. The results are given below. It was hypothesized that if this was actually measuring attraction, then participants should sit closer (in feet) to the attractive versus the unattractive confederate. Test this hypothesis at a .05 level of significance (compute a two-tailed test).
Attractiveness of Confederate |
|
Attractive |
Unattractive |
1.3 |
6.8 |
2.2 |
5.7 |
3.5 |
4.9 |
0.7 |
8.5 |
2.3 |
9.2 |
2.1 |
8.4 |
4 |
6.7 |
6 |
4.3 |
2.3 |
1.3 |
5.8 |
6.3 |
6.8 |
8.8 |
5.3 |
9.2 |
8.4 |
5.7 |
3.5 |
7.3 |
0.4 |
2.6 |
7.9 |
2.1 |
8.2 |
6.0 |
1.6 |
3.4 |
Based on the table shown in SPSS, state the following values associated with the test statistics (assume equal variance):
Mean Difference: ______
t obtained: ______
Degrees of Freedom: ______
Significance (p-value): ______
Based on the value of the test statistic, what is the decision (highlight one):
Not Significant Significant
Write the statistic in APA format: ________________________
(X) |
(Y) |
x(X-Mx) |
y(Y-My) |
x2 |
y2 |
1.3 |
6.8 |
-2.72 |
0.84 |
7.4 |
0.71 |
2.2 |
5.7 |
-1.82 |
-0.26 |
3.31 |
0.07 |
3.5 |
4.9 |
-0.52 |
-1.06 |
0.27 |
1.12 |
0.7 |
8.5 |
-3.32 |
2.54 |
11.02 |
6.45 |
2.3 |
9.2 |
-1.72 |
3.24 |
2.96 |
10.50 |
2.1 |
8.4 |
-1.92 |
2.44 |
3.69 |
5.95 |
4 |
6.7 |
-0.02 |
0.74 |
0 |
0.55 |
6 |
4.3 |
1.98 |
-1.66 |
3.92 |
2.76 |
2.3 |
1.3 |
-1.72 |
-4.66 |
2.96 |
21.72 |
5.8 |
6.3 |
1.78 |
0.34 |
3.17 |
0.12 |
6.8 |
8.8 |
2.78 |
2.84 |
7.73 |
8.07 |
5.3 |
9.2 |
1.28 |
3.24 |
1.64 |
10.50 |
8.4 |
5.7 |
4.38 |
-0.26 |
19.18 |
0.07 |
3.5 |
7.3 |
-0.52 |
1.34 |
0.27 |
1.80 |
0.4 |
2.6 |
-3.62 |
-3.36 |
13.10 |
11.29 |
7.9 |
2.1 |
3.88 |
-3.86 |
15.05 |
14.90 |
8.2 |
6 |
4.18 |
0.04 |
17.47 |
0 |
1.6 |
3.4 |
-2.42 |
-2.56 |
5.86 |
6.55 |
∑X= 72.3 |
∑Y= 107.2 |
∑ x2= 119 |
∑ y2= 103.13 |
Here, ∑X= 72.3
N= 18
= 4.02
N= 18
Here, ∑Y= 107.2
N= 18
= 5.96
N= 18
Given-
Attractive |
Unattractive |
|
N |
18 |
18 |
M |
4.02 |
5.96 |
SD |
2.57 |
2.39 |
df= (N1-1)+(N2-1)
df= (18-1)+(18-1)
df= 17+17
df= 34
This result (t= 2.07, df= 34) is significant at 0.05 level. It means there is a significant difference between scores of both groups.