Suppose you adopt the cutoff from Exercise 30. Find and graph the power as a function of

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Suppose you adopt the cutoff from Exercise 30. Find and graph the power as a function of the true mean. What is the power of the test if the true mean is 50? What is the power of the test if the true mean is 10?
The survival time for one type of cell in culture is exponentially distributed with a mean of 200 h. After applying a new treatment, one cell lasts 800 h. For a second type of cell, the survival time is exponentially distributed with a mean of 100 h. After applying the same new treatment, one cell lasts 30 h.
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