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Inference Procedure For Paired Data

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The table provides summary statistics for the improvements in test scores from a paired data design. Which of the following describes the correct method for analyzing these data?

Sample Size Mean Improvement Standard Deviation of Improvements
30 42.25 27.92
A

When using paired data, a two-sample t-test is appropriate as the two sets of scores are independent of each other.

B

For paired data, compute the differences for each paired observation and then use a one-sample t-test to construct a confidence interval for the mean difference.

C

For paired observations, pooling the data from both tests and calculating a single variance provides a more accurate assessment.

D

For paired data, conduct two independent t-tests on the ‘before’ and ‘after’ scores separately to analyze improvement.

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