1. There are 60 registered sex offenders in this study. 30 participate in treatm

Question

1. There are 60 registered sex offenders in this study. 30 participate in treatment program A. The other 30 participate in treatment program B. Data is collected in the year following the treatment program that assesses the number of times participants reoffended. The average number of time offenses were committed in each sample is compared.

2. The average age of first incarceration for sex offenders in California is 23. Research is conducted at a jail in San Diego. Data is collected on all of the sex offenders in the jail to determine the age of their first incarceration. The average age of first incarceration in this sample is compared to the average age of first incarceration for the population of sex offenders in California.

3. 50 registered sex offenders are given a questionnaire designed to measure depression prior to their incarceration. At the conclusion of their incarceration these same 50 sex offenders are given the same questionnaire. The average depression score of the sample at pre-incarceration is compared with the average depression score of the sample at post-incarceration.

Which type of t test is appropriate for each example?

Explanation / Answer

(1) since it is test of difference of two sample means

(2)test of one sample mean

(3) paired t-test

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