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Question A. The below data correspond to an independent-measures t test. 1. Provide a hypothetical research question that is

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Answer #1

1. Is there a significant difference between the two conditions?

2. Independent variable = Condition type (2 levels)

Dependent variable = Effect of the condition

3. The alpha level is the probability of making a Type I error. Reject the null if the p-value < Alpha level.

4. The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 ≠ µ2

The df is 14.

The test statistic is 2.245.

The p-value is 0.0414.

Since the p-value (0.0414) 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 the two conditions.

Condition 1 Condition 2
10 7
8 4
7 9
9 3
13 7
7 6
6 10
12 2
Condition 1 Condition 2
9.00 6.00 mean
2.51 2.83 std. dev.
8 8 n
14 df
3.000 difference (Condition 1 - Condition 2)
7.143 pooled variance
2.673 pooled std. dev.
1.336 standard error of difference
0 hypothesized difference
2.245 t
.0414 p-value (two-tailed)
1.12 Cohen's d
0.265

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