A researcher reports that the mean difference between two groups is 20.12 and the estimated standard error for the difference is 2.83.Hence,the conclusion must be to reject the null hypothesis for a two-tailed test at a .05 level of significance.

Question

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To determine whether to reject or fail to reject the null hypothesis, we need to calculate the test statistic (i.e., the number of standard errors away from the null hypothesis mean) and compare it to the critical value. However, since the critical value is not provided in the given information, we cannot determine whether the conclusion to reject the null hypothesis is correct. Therefore, the question cannot be answered with certainty.

A Researcher Reports That the Mean Difference Between Two Groups