A survey was conducted in a municipality. It was decided to stratify the municipality into 5 geographical areas. Within each stratum, a sample was chosen by simple random sampling. question: Suppose in problem #1, it is desired to estimate the mean household size to be within +- 0.5 from the true mean,and at the 90 percent confidence level, what is the required sample size? How will this be allocated to the five

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3BGP
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1. A survey was conducted in a municipality. It was decided to stratify the municipality into 5 geographical areas.
Within each stratum, a sample was chosen by simple random sampling.

question: Suppose in problem #1, it is desired to estimate the mean household size to be within +- 0.5 from the true mean,and at the 90 percent confidence level, what is the required sample size? How will this be allocated to the five
strata?

Total number of sampling
units in the stratum (N)
Sample taken from
the stratum (n)
Estimate of
Estimate of
Stratum
stratum mean
Stratum variance (S?)
448
81
6.49
6.65
P2
131
31
6.77
12.11
81
14
6.5
4.58
4
108
20
7.25
7.57
3
5
100
17
6.76
5.19
1
Transcribed Image Text:Total number of sampling units in the stratum (N) Sample taken from the stratum (n) Estimate of Estimate of Stratum stratum mean Stratum variance (S?) 448 81 6.49 6.65 P2 131 31 6.77 12.11 81 14 6.5 4.58 4 108 20 7.25 7.57 3 5 100 17 6.76 5.19 1
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