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
Ask a new question for Free
By Image
Drop file here or Click Here to upload
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
Related Recommendation
Calculate the 95% Confidence Interval for Mean Difference between Two Independent Samples
Calculating S_Difference Using Pooled Variance for Studies with Two Sample Groups
Calculating Estimated Standard Error for Sample Mean Difference with SS=546 and SS=606
95% Confidence Interval for Difference Between Population Means - Independent Samples
Calculate t-Test for Two Samples with n = 9 and SS = 546, SS = 606