In a large hospital, a nursing director selected a random sample of 37 registered nurses and found that the mean of their ages was 32.6. The population standard deviation for the ages is 4.1. She selected a random sample of 31 nursing assistants and found the mean of their ages was 30.4. The population standard deviation of the ages for the assistants is 5.8. Find the 95% confidence interval of the differences in the ages. Use u, for the mean age of the registered nurses. Round the answers to one decimal place.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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In a large hospital, a nursing director selected a random sample of 37 registered nurses and found that the mean of their ages
was 32.6. The population standard deviation for the ages is 4.1. She selected a random sample of 31 nursing assistants and found
the mean of their ages was 30.4. The population standard deviation of the ages for the assistants is 5.8. Find the 95% confidence
interval of the differences in the ages. Use u, for the mean age of the registered nurses. Round the answers to one decimal place.
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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 32.6. The population standard deviation for the ages is 4.1. She selected a random sample of 31 nursing assistants and found the mean of their ages was 30.4. The population standard deviation of the ages for the assistants is 5.8. Find the 95% confidence interval of the differences in the ages. Use u, for the mean age of the registered nurses. Round the answers to one decimal place. Check Answer Save For Later Submit Assignment
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