Donna Rose is a production supervisor on the disk-drive assembly line at Winchester Technologies. Winchester recently subscribed to an easy listening music service at its factory, hoping that this would relax the workers and lead to greater productivity. Donna is skeptical about this hypothesis and fears the music will be distracting, leading to lower productivity. She sampled weekly production for the same six workers before the music was installed and after it was installed. Her data are given below. At α = 0.02, has the average production changed at all?
- Find the mean change in earnings per share between 1991 and 1992.
- Find the standard deviation of the change and the standard error of the mean.
- Were average earnings per share different in 1991 and 1992? Test at α = 0.02.
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