The American Bar Association reports that the mean length oftime for a hearing in juvenile court is 25 minutes. Assume thatthis this your population mean. As a lawyer who practices in thejuvenile court, you think that the average hearing much shorterthan this. You take a sample of 20 other lawyers who do juvenilework and ask them how long their last case in juvenile court was.The mean hearing length for this sample of 20 was 23 minutes., witha standard deviation of 6. Test the null hypotheses that thepopulation mean is 25 minutes against the alternative that is lessthan 25. Set your alpha at .05.
