Asked by Nieajua Gonzalez on Jun 09, 2024
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In testing the difference between two population means using two independent samples, we use the pooled variance in estimating the standard error of the sampling distribution of the sample mean difference if the populations are normal with equal variances.
Pooled Variance
Acombined estimate of variance for two or more groups in a sample, assuming that the populations have equal variances.
Sampling Distribution
The distribution of a statistic (like the mean or variance) derived from a large number of samples drawn from a specific population.
Sample Mean Difference
The difference between the average values from two samples, used in hypothesis testing to compare two groups.
- Grasp the essential hypotheses supporting the application of the t-test for two non-related samples.
- Recognize the differences between homogeneity and heterogeneity of variances in two-sample t-tests.
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Learning Objectives
- Grasp the essential hypotheses supporting the application of the t-test for two non-related samples.
- Recognize the differences between homogeneity and heterogeneity of variances in two-sample t-tests.
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