The inmates at Bigmac Prison, Oklahoma, make an average of 437 license plates per day. The warden feels that their production should be higher and suspects that the inmates are wasting a lot of time on the job. In order to test his opinion, he obtains the mean license plate production for a sample of nine other prisons in the state. These data are listed below:
452 440 464 461 435 439 449 459 446
Based on these data, can the warden reject the null hypothesis that the inmates of Bigmac Prison are no less productive in making license plates than are the inmates at other prisons?