Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 21, Problem 24SE

A public agency is interested in learning more about the persons living in nursing homes in a particular city. A total of 100 nursing homes are caring for 4800 people in the city and a cluster sample of six homes has been taken. Each person in the six homes has been interviewed. A portion of the sample results follows.

Home Residents Average Age of Residents Disabled Residents
1 14 61 12
2 7 74 2
3 96 78 30
4 23 69 8
5 71 73 10
6 29 84 22
  1. a. Develop an estimate of the mean age of nursing home residents in this city.
  2. b. Develop an approximate 95% confidence interval for the proportion of disabled persons in the city’s nursing homes.
  3. c. Estimate the total number of disabled persons residing in nursing homes in this city.
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