1. As a criminological researcher, you hypothesize that the mean sentence for those convicted of burglary in Georgia greater than the population mean, which is 3.5 years. After collecting sentencing data from 28 inmates in Georgia, the mean sentence for your sample is 4.5 years with a standard deviation of 1.5. a. Why would a t test be appropriate instead of a z test? b. What 1s your research and null hypothesis? c. Solve for t obtained. Make sure to provide your work on a separate page or document. d. What 1s your t critical value? e. Is your t-critical values greater or less than your t obtained value? f. Do you reject or fail to reject your null hypothesis? g. What can you conclude