Math Problem Statement

One sample from an independent measures study has n=4 with SS=72. The other sample has n=8 and SS=168. For these data compute the pooled variance and the estimated standard error for the mean difference.

Solution

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Math Problem Analysis

Mathematical Concepts

Pooled Variance
Standard Error
Independent Measures Study

Formulas

Pooled Variance: S_p^2 = (SS_1 + SS_2) / (n_1 + n_2 - 2)
Estimated Standard Error: SE_diff = sqrt(S_p^2 / n_1 + S_p^2 / n_2)

Theorems

Pooled Variance Theorem
Standard Error Theorem

Suitable Grade Level

Grades 11-12