Suppose a population of size N = 160 is stratified into two regions according W = 0.5625 and W2 = 0.4375 with H1 = 6 and #.2 = 6.5. Samples of size n = 10 and n2 = 8 collected from each population. The values in each sample are given in the table below. 1. Sample 1 Sample 2 _y 5.38 17.02 11.03 40.95 7.35 26.62 y 0.42 1.21 4.94 16.31 3.08 11.30 2.54 6.69 10.23 36.71 20 10 280 0 52
Suppose a population of size N = 160 is stratified into two regions according W = 0.5625 and W2 = 0.4375 with H1 = 6 and #.2 = 6.5. Samples of size n = 10 and n2 = 8 collected from each population. The values in each sample are given in the table below. 1. Sample 1 Sample 2 _y 5.38 17.02 11.03 40.95 7.35 26.62 y 0.42 1.21 4.94 16.31 3.08 11.30 2.54 6.69 10.23 36.71 20 10 280 0 52
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Suppose a population of size N = 160 is stratified into two regions according to
Wi = 0.5625 and W2 = 0.4375 with Hz.1 = 6 and Hz2 = 6.5. Samples of size n = 10 and n2 = 8 are
collected from each population. The values in each sample are given in the table below.
1.
Sample 1
х у
5.38 17.02 11.03 40.95
Sample 2
_y
0.42
1.21
7.35 26.62
4.94 16.31
3.08
11.30
2.54 6.69
10.23 36.71
8.89 29.19
2.80
9.52
5.97 20.45
2.56
9.11
7.94 26.23
3.44 12.94
8.57 26.54 11.52 40.74
3.77 13.11
9.84 32.68
a. Use separate ratio estimation to estimate the population mean for this population.
b. Compute an estimate of the variance of the estimator used in a.
c. Use combined ratio estimation to estimate the population mean for this population.
d. Compute an estimate of the variance of the estimator used in c.
e. Is the separate ratio estimator more efficient than the combined ratio estimator? Explain.
f. Comment on the validity of the ratio estimation approach for each strata. Use appropriate
illustrations to aid vour answer.
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