method. After a training period, the average time these 9 employees take to perform thesametask is 13.5 minutes. The plant manager would like to be at least 98% sure before switching any more employees to the new, perhaps faster method and

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The mean length of time required to perform a certain assembly line task at Joe’sManufacturinghas been established to be 15.5 minutes, with a standard deviation of 3 minutes. A random sample of 9 employees aretaught a new method. After a training period, the average time these 9 employees take to perform thesametask is 13.5 minutes. The plant manager would like to be at least 98% sure before switching any more employees to the new, perhaps faster method and consults you for advice. Do these results provide sufficient evidence to indicate that the new method is fasterthan the old? Use the critical value approachto develop and test appropriate hypotheses concerning this situation. What would you advise the manager under these circumstances?

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