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In a large hospital, a nursing director selected a random sample of 30 registered nurses and...

In a large hospital, a nursing director selected a random sample of 30 registered nurses and found that the mean of their ages was 30.2. The population standard deviation for the registered nurse ages is 5.6. She selected a random sample of 40 nursing assistants and found the mean of their ages was 31.7. The population standard deviation of the ages for the assistants is 4.3. At the 1% level of significance, test the claim that the mean age of registered nurses is different than the mean age of nursing assistants.

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