# T- test for matched groups

1. Outline the difference between the t test for independent groups and the t test for matched groups.

2. A researcher computed the F ratio for a four-group experiment.The computed F is 4.86. The degrees of freedom are 3 for the numerator and 16 for the denominator.

a. Is the computed value of f significant at p <.05? Explain.

b. Is it significant at p<.01?, Explain

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#### Solution Preview

T- test

1. Outline the difference between the t test for independent groups and the t test for matched groups.

For the t-test for independent groups, we actually test if two pouplation means are the same. So, the null hypothesis will be

either mu1=mu2 , or mu1>=mu2; or mu1<=mu2.

But for the t-test for matched groups, we actually look at a new data by taking ...

#### Solution Summary

This solution of 254 words describes the characteristics of a t-test and determines the significance of the p-value for the F ratio.