Discuss the below problem:
Q: Silver Gym's aerobic class grew so large that the class had to be split in half and offered on two different nights. Silver also hired a new aerobic leader to handle the Tuesday night class, whereas an existing staff member continued to handle the Thursday night class. Concerned about customer satisfaction with the new leader, Silver Gym's management decided to secure a leader-approval rating from each class after four weeks. Results are shown in the table below:
Tuesday Thursday
Class Size
Mean Approval Rating
Standard Deviation 38
87.3
7.4 41
89.7
6.3
Did the new leader of the Tuesday night class receive a lower approval rating than the leader of the Thursday night class? Set up and test = at a= 0.05. as your hypotheses.