A researcher believes it takes students involved in leadership activities longer than average to finish their degrees. She selected a sample of 41 former student leaders from a list of graduates at a large university. She discovered that it had taken an average of 4.97 years for this sample of graduates to finish their degrees, with a standard deviation of 1.23 years. The average for the entire student body is 4.56 years. Based on this information, what should the researcher conclude? Use a hypothesis test with a 5% level of significance. Label and address all five steps of hypothesis testing covered in class.