Dr. Z divides her clients with depression into 2 groups. She asks Group 1 not to watch or read any news for two weeks while in therapy and asks Group 2 to continue with therapy as normal. The groups scored the following on measure of depression: Measure of Depression
Dr. Z divides her clients with depression into 2 groups. She asks Group 1 not to watch or read any news for two weeks while in therapy and asks Group 2 to continue with therapy as normal. The groups scored the following on measure of depression:
Measure of Depression:
Group 1: 34, 25, 4, 64, 14, 49, 54
Group 2: 24, 78, 59, 68, 84, 79, 57
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t-Test: Two-Sample Assuming Equal Variances |
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Variable 1 |
Variable 2 |
|
Mean |
34.85714 |
64.14286 |
|
Variance |
483.4762 |
418.4762 |
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Observations |
7 |
7 |
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Pooled Variance |
450.9762 |
|
|
Hypothesized Mean Difference |
0 |
|
|
df |
12 |
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t Stat |
-2.57996 |
|
|
P(T<=t) one-tail |
0.01205 |
|
|
t Critical one-tail |
1.782288 |
|
|
P(T<=t) two-tail |
0.0241 |
|
|
t Critical two-tail |
2.178813 |
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State the null hypothesis and the directional (one-tailed) alternative hypothesis.
Can you reject the null hypothesis at α = .05? Explain why or why not.
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