A cell in the salubrious bath survives 30 min, and a cell in standard culture survives only

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A cell in the salubrious bath survives 30 min, and a cell in standard culture survives only 5 min. Is there reason to think that the salubrious bath lengthens cell life?
It has been proposed that a particular salubrious bath extends cell lifespan. Suppose that cell mortality follows an exponential model. Use the method of support to evaluate the above case.
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