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If a 95% confidence interval is constructed to test for a difference in two dependent samples the result is (0.2kg, 2.1kg). If the same data

If a 95% confidence interval is constructed to test for a difference in two dependent samples the result is (0.2kg, 2.1kg). If the same data is treated as independent samples the resulting 95% CI is (-2.7kg, 5.0kg). What is the key difference in the interpretation of these two intervals? The CI for the dependent samples does not include 0, so there is not a significant difference between the two means. However, the independent sample means do show a significant difference since the interval does include 0. The CI for the dependent samples does not include 0, so there is a significant difference between the two means. However, the independent sample means do not show a significant difference since the interval does include 0. There is no difference in the conclusions for these other than the interval endpoints

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