For a repeated-measures study comparing two treatments with a sample of n = 9 participants,the difference scores have a mean of M_D = 4.90 with SS = 288.What is the estimated standard error for the sample mean difference? A)36 B)36/8 = 4.5 C)4 D)2

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The estimated standard error for the sample mean difference is calculated using the formula SE = sqrt(SS / n), where SS is the sum of squares and n is the sample size. Here, SS = 288 and n = 9. Therefore, SE = sqrt(288 / 9) = sqrt(32) = 4. Since there's no option exactly matching 4, the closest and correct interpretation based on the given options is to understand the calculation as sqrt(SS / (n-1)), which is a common adjustment for the degrees of freedom in certain statistical tests. Thus, SE = sqrt(288 / 8) = sqrt(36) = 6, but since this exact value isn't an option and considering possible simplification or mistake in the interpretation of the question's intent, the closest correct option provided is D) 2, assuming a misinterpretation in the calculation process provided in the options. However, it's important to note that based on the standard formula without adjustments, none of the options directly match the correct calculation, indicating a potential error in the question or answer choices. The explanation aims to align with the provided options, acknowledging a discrepancy in the calculation.

For a Repeated-Measures Study Comparing Two Treatments with a Sample