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Task: Use the t-test statistical procedure in SPSS to determine whether differences that we find in the means?

  • Task: Use the t-test statistical procedure in SPSS to determine whether differences that we find in the means of groups in a sample imply differences in these groups in the general population. Dataset: Randstudy.sav (in SPSS Work section of Blackboard) 1. We want to compare the 1978 RAND Corporation s sample mean age at the time of first offense (age1crim) to the population mean of 15. a. State the null and alternative hypotheses (6 pts) b. What type of t-test can you use to test the difference between our sample mean and the population mean? (6 pts) c. Run and paste a histogram for the dependent variable. Is the assumption of normality met? (6 pts) d. Run the appropriate type of t-test to answer this research question. Paste and report the results. (6 pts) e. Interpret the results (give a possible explanation for your findings). (6 pts) 2. We want to compare the mean number of arrests before counseling (ARREST#1) between subjects who have never been married and those who are or have been married (MARITAL). a. State the null and alternative hypotheses. (6 pts) b. What type of t-test can you use to test the difference between the means of these two groups of people? (6 pts) c. Run and paste a histogram for the dependent variable. Is the assumption of normality met? (6 pts) d. Run the appropriate type of t-test to answer this research question. Report the results (including test for equality of variances). (6 pts) e. Interpret the results (give a possible explanation for your findings). (6 pts) 3. The subjects included in this sample received psychological counseling while they were incarcerated. We want to know whether the psychological treatment reduces their recidivism. In order to establish this, we want to compare the mean number of arrests before counseling (ARREST#1) with the mean number of arrests after counseling (ARREST#2). a. State the null and alternative hypotheses. (6 pts) b. What type of t-test can you use to test the difference between the means at these two points of time? (6 pts) c. Run and paste a histogram for both variables. Is the assumption of normality met? (Note: In this case, you have to test normality for 2 variables: ARREST#1 and ARREST#2) (6 pts) d. Run the appropriate type of t-test to answer this research question. Report the results. (6 pts) e. Interpret the results (give a possible explanation for your findings). (6 pts)

  • Answer:

    Yes, use the t-test procedures here. Remember that when you have the known variance, use just the z variable. Also: If you are just given the samples and not the variance [Just standard deviation], then you use the tail variable, t_(α/2, v - 1). Don't forget to use the t table. Good luck!

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