T-Test A researcher has done a study to determine if the age at first arrest is different for Caucasian males and African American males (Note: different, not whether one is greater than the other. This will help you determine whether you should use a one or two-tailed test). The researcher found the following: The mean age at first arrest for Caucasians males (N = 8) is 11.50, and the standard deviation is 4.25. The mean age at first arrest for African American males (N = 8) is 15.00, and the standard deviation is 3.00. Use this information to conduct a five-step hypothesis test investigating whether Caucasia males and African American males have a different age at first arrest. Sample 1: Caucasian Males Sample 2: African American Test information Males X1 = 11.50 X2 = 15 0=0.05 $7 = 4.25 $3 = 3.00 Two tailed test N1 = 8 N2 = 8 Equal population variances 9. (3 pts) What are your null and alternative hypotheses? 10. (3 pts) What are the degrees of freedom? 11. (3 pts) What is the critical test value(s) for a = 0.05? Note: You will need to identify whether this is a one or two tailed test. What is your decision rule? 12. (6 pts) Calculate the obtained value of t. Use the test for equal population variances (pooled variance). 13. (3 pts) Make a decision regarding your null hypothesis and a conclusion regarding the relationship between the variables