Suppose that, in a randomized controlled experiment of the effect of an SAT prep

Question

Suppose that, in a randomized controlled experiment of the effect of an SAT preparatory course on SAT scores, the following results are reported: Average SAT score Standard deviation of SAT score Number of men Number of women Treatment Group 1,249 93.1 Control Group 1,201 96.5 45 45 Estimate the average treatment effect on test scores Average treatment effect- 48 points. (Enter your response as an integer.) There would be nonrandom assignment if men (or women) had different probabilities of being assigned to the treatment group and to the control group. Let PMen denote the probability that a male is assigned to the treatment group. Random assignment to a group means PMen - 0.5 Calculate the t-statistic for random assignment of a male to a group under the null hypothesis of pMen = 0.5 at the 10% level of significance t-statistic (Round your response to two decimal places.) Using this calculation, there is not evidence of nonrandom assignment.

Explanation / Answer

n1 = 55 , x1 = 1249 , s1 = 93.1

n2 = 45 , x2 = 1201 , s2 = 96.5

t = (x1 - x2) - d/ sqrt(s1^2/n1 + s2^2/n2)
= ( 1249 - 1201) - 0.5 / sqrt(93.1^2/55 + 96.5^2/45)
= 47.9738

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