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Standard Deviations Sample Sizes Assume Equal Standard Deviations (Pooled) Do Not Assume Equal Standard Deviations (Not Pooled) Study T test statistic Degrees of Freedom P-value

Standard Deviations Sample Sizes Assume Equal Standard Deviations (Pooled) Do Not Assume Equal Standard Deviations (Not Pooled)
Study T test statistic Degrees of Freedom P-value T test statistic Degrees of Freedom P-value
1 12 10 20 20 1.431 38 0.1605 1.431 36.80 0.1607
2 12 10 50 50 2.263 98 0.0258 2.263 94.91 0.0259
3 6 5 20 20 2.863 38 0.0068 2.863 36.80 0.0069
4 6 6 32 8 2.108 38 0.0417 2.108 10.79 0.0593
5 8 6 20 20 2.236 38 0.0313 2.236 35.24 0.0318
6 8 6 10 30 2.097 38 0.0427 1.814 12.55 0.0937
7 8 6 30 10 1.808 38 0.0785 2.088 20.58 0.0494
8 12 2 20 20 1.838 38 0.0739 1.838 20.05 0.0809
9 12 2 10 30 2.246 38 0.0306 1.312 9.17 0.2216
10 12 2 30 10 1.301 38 0.2012 2.193 33.29 0.0354

What do we learn from this? Answer the following questions.

Compare Study 2 and Study 1: Based on your results, how (in general) does increasing sample sizes (holding the means and standard deviations constant) impact our three metrics (degrees of freedom, the test statistics and the p-values)?

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