U wish to test the following claim \( \left(H_{a}\right) \) at a significance level of \( \alpha=0.002 \). For the context of this oblem, \( \mu_{d}=\mu_{2}-\mu_{1} \) where the first data set represents a pre-test and the second data set represents a st-test. \( \begin{array}{l}H_{o}: \mu_{d}=0 \\ H_{a}: \mu_{d}>0 \\ \text { ubelieve the population of difference scores is normally distributed, but you do not know the standard } \\ \text { viation. You obtain pre-test and post-test samples for } n=136 \text { subjects. The average difference (post - } \\ \text { e) is } \bar{d}=7.7 \text { with a standard deviation of the differences of } s_{d}=33.3 \text {. } \\ \text { hat is the test statistic for this sample? (Report answer accurate to three decimal places.) } \\ \text { st statistic = }\end{array} \).
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