A researcher has done a study to determine whether the age at first arrest is different for males and females. She found the following: The mean age at first arrest for males (N = 7) is 12.00 and the standard deviation is 1.25. The mean age at first arrest for females (N = 7) is 14.50, and the standard deviation is 2.75. Use this information to conduct a five-step hypothesis test investigating whether males and females have a different age at first arrest. 1. (2 pts) What are your null and alternative hypotheses (in symbols and words)? 2. (2 pts) What are the degrees of freedom? 3. (2 pts) What is the critical test value(s) for = .05? Note: You will need to identify whether this is a one or two tailed test. What is your decision rule? 4. (2 pts) Calculate the obtained value of t. Use the test for equal population variances (pooled variance). 5. (2 pts) Make a decision regarding your null hypothesis and a conclusion regarding the relationship between the variables.