In a large hospital, a nursing director selected a random sample of 37 registered nurses and found that the mean of their ages was 32.9. The population standard deviation for the ages is 4.2. She selected a random sample of 28 nursing assistants and found the mean of their ages was 29.8. The population standard deviation of the ages for the assistants is 5.1. Find the 90% confidence interval of the differences in the ages. Use u, for the mean age of the registered nurses. olb Round the answers to one decimal place.

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Unable to solve 90% confidence interval of the differences in the nurses.

In a large hospital, a nursing director selected a random sample of 37 registered nurses and found that the mean of their ages was 32.9. The population standard deviation for the ages is 4.2. She selected a random sample of 28 nursing assistants and found the mean of their ages was 29.8. The population standard deviation of the ages for the assistants is 5.1. Find the 90% confidence interval of the differences in the ages. Use μ₁ for the mean age of the registered nurses. Round the answers to one decimal place.

There is a calculation area with two input boxes surrounding an inequality symbol "< μ₁ - μ₂ <", where users can input the lower and upper bounds of the confidence interval. There are also buttons for clearing input (X) and resetting (circular arrow).
Transcribed Image Text:In a large hospital, a nursing director selected a random sample of 37 registered nurses and found that the mean of their ages was 32.9. The population standard deviation for the ages is 4.2. She selected a random sample of 28 nursing assistants and found the mean of their ages was 29.8. The population standard deviation of the ages for the assistants is 5.1. Find the 90% confidence interval of the differences in the ages. Use μ₁ for the mean age of the registered nurses. Round the answers to one decimal place. There is a calculation area with two input boxes surrounding an inequality symbol "< μ₁ - μ₂ <", where users can input the lower and upper bounds of the confidence interval. There are also buttons for clearing input (X) and resetting (circular arrow).
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