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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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  1. A researcher wishes to investigate the current event awareness of senior high school students in each municipality. It is known that there are 10 schools offering senior high school in the municipality. Suppose a two-stage epsem sample of 80 students are to be selected from four sampled schools. Given below is the summary of the total number of senior high school students enrolled in each school.

School

1

2

3

4

5

6

7

8

9

10

Number of students

57

59

220

58

62

65

55

80

110

60

 

 

  1. (5 pts) Give the selection equation for the overall probability of selecting a student. Define all notations that you will use and include specific figures, whenever possible.
  2. (5 pts) Identify oversized PSU(s), if any. Why do you consider it (them) oversized? How will you address this issue?
  3. (5 pts) Considering the issue in item (b), supposing that you would like to maintain the same selection probability that has been computed in item (a), what will be the revised selection equations and element sample sizes.
  4. (5 pts) Are there undersized PSUs? Why or why not? How will you address the issue of undersized PSU, if any?
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