Statistics for Business & Economics, Revised (MindTap Course List)
Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Chapter 22.6, Problem 14E

A sample of four clusters is to be taken from a population with N = 25 clusters and M = 300 elements. The values of Mi, xi, and ai for each cluster in the sample follow.

Cluster (i) Mi xi ai
1 7 95 1
2 18 325 6
3 15 190 6
4 10 140 2
Totals 50 750 15
  1. a. Develop point estimates of the population mean, total, and proportion.
  2. b. Estimate the standard error for the estimates in part (a).
  3. c. Develop an approximate 95% confidence interval for the population mean.
  4. d. Develop an approximate 95% confidence interval for the population total.
  5. e. Develop an approximate 95% confidence interval for the population proportion.
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