Assume a research situation involving two matched samples, Sample A and Sample B

Question

Assume a research situation involving two matched samples, Sample A and Sample B, each involving 12 cases (n=12). Mean of differences = 11.65, estimated standard error of the mean difference = 4.2; assume a .05 level of significance. Calculate the t statistic, identify the degrees of freedom, identify the critical value, and state whether you would accept or reject the null hypothesis. Write your findings (i.e., t statistic, degrees of freedom, critical value, and acceptance or rejection of the null) below Assume a research situation involving two matched samples, Sample A and Sample B, each involving 12 cases (n=12). Mean of differences = 11.65, estimated standard error of the mean difference = 4.2; assume a .05 level of significance. Calculate the t statistic, identify the degrees of freedom, identify the critical value, and state whether you would accept or reject the null hypothesis. Write your findings (i.e., t statistic, degrees of freedom, critical value, and acceptance or rejection of the null) below

Explanation / Answer

The test statistic t = mean difference/SE

                             = 11.65/4.2 = 2.77

DF = 12 + 12 - 2 = 22

With 22 degrees of freedom and 0.05 significance level the critical value is t0.025, 22 = 2.07

As the test statistic value is greater than the critical value((2.77 > 2.07), so the null hypothesis is rejected.

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