Hi i would like help with the attached textbook question. Thank you :)

A new brand of light bulb was advertised to have an average lifetime of 725 hours. Upon seeing the advertisement, an opposing merchandiser did not believe this was so. As such he purchased a sample of the light bulbs and kept them on for as long as they lasted. After approximately one month, the lifelines were recorded below. 656 580 650 702 699 720 687 693 744 675 (i) By conducting an appropriate hypothesis test that involves finding a critical value ata = 0.01, show that the merchandiser's belief is false. (ii) Without undergoing any further expenses, how can the merchandiser prove his claim to be true