M1 and M2 are two robotic methods to complete a task. In a sample of 8 robots for M1 and 7 robots for M2, the time to complete the task was measured. For M1, the mean and st dev in hours were 12.2 and 1.1. For M2, the mean and st dev in hours were 7.2 and 3.4. (a) Test the hypothesis that there is no significant difference in completion time between the two methods. Assume that the completion time distribution for the two robots is approximately normal.
(b) Would your procedure be the same if the completion time distribution is either unknown or cannot be assumed to be approximately normal?
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