Let N=6 and n=3. For purpose of studying sampling distribution, we assume that all population values are known. In this study, two sampling plans are proposed. In Sampling Plan 1, eight possible samples are chosen. Meanwhile, in Sampling Plan 2, only three possible samples are chosen. Number of Element Population in Population 99 1 104 2 156 3 130 4 5 189 173 Sampling Plan 1: {1, 3, 5} {1, 3, 6} {1,4, 5} {1, 4, 6} {2, 3, 5} {2, 3, 6} {2, 4, 5} {2, 4, 6} Sampling Plan 2: {1, 4, 6} {2, 3, 5} {1, 3, 5} (i) Compute the value of population mean. (ii) For each sampling plan, compute the value of estimated mean and bias. (iii) Which samplir think is better

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Let N=6 and n=3. For purpose of studying sampling distribution, we
assume that all population values are known. In this study, two sampling
plans are proposed. In Sampling Plan 1, eight possible samples are chosen.
Meanwhile, in Sampling Plan 2, only three possible samples are chosen.
Number of Element
Population
in Population
99
1
2
104
3
156
130
4
189
173
6
Sampling Plan 1: {1, 3, 5} {1, 3, 6} {1,4, 5} {1,4, 6} {2, 3, 5} {2, 3, 6}
{2, 4, 5} {2, 4, 6}
Sampling Plan 2: {1, 4, 6} {2, 3, 5} {1, 3, 5}
(i) Compute the value of population mean.
(ii)
For each sampling plan, compute the value of estimated mean and
bias.
(iii) Which sampling plan do you think is better?
Transcribed Image Text:Let N=6 and n=3. For purpose of studying sampling distribution, we assume that all population values are known. In this study, two sampling plans are proposed. In Sampling Plan 1, eight possible samples are chosen. Meanwhile, in Sampling Plan 2, only three possible samples are chosen. Number of Element Population in Population 99 1 2 104 3 156 130 4 189 173 6 Sampling Plan 1: {1, 3, 5} {1, 3, 6} {1,4, 5} {1,4, 6} {2, 3, 5} {2, 3, 6} {2, 4, 5} {2, 4, 6} Sampling Plan 2: {1, 4, 6} {2, 3, 5} {1, 3, 5} (i) Compute the value of population mean. (ii) For each sampling plan, compute the value of estimated mean and bias. (iii) Which sampling plan do you think is better?
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