Two-Sample t Tests

With this chapter, we come back from the theoretical and study a family of tests with widespread research applications. Recall that in Chapter 7's prologue, we wanted to study juvenile crime but we couldn't study every juvenile criminal. We now know that we can use random samples (which are small enough for us to study) in place of populations (which are too large for us to study). So maybe now we have two samples. One is of juvenile offenders who did time in a detention facility, and the other is a sample of similar offenders who received probation instead of detention. You as a researcher have developed an alienation index, which you administer to everyone in each sample. You then calculate a mean alienation score for each sample: those in detention and those on probation. Are the sample differences large enough to conclude differences in the populations? Another example from ...

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