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miskamm [114]
3 years ago
7

Which sampling method divides the population up into​ sections, randomly selects some of those​ sections, then chooses all the m

embers from the selected sections to​ study? choose the correct answer below?
Mathematics
1 answer:
Advocard [28]3 years ago
3 0

Which sampling method divides the population up into​ sections, randomly selects some of those​ sections, then chooses all the members from the selected sections to​ study?

Answer: The above mentioned type of sampling is called cluster sampling.

Cluster sampling is a sampling technique in which the entire population of interest is divided into clusters or groups, then the investigator randomly selects some of these clusters and all the members of these randomly selected clusters are investigated.


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Answer:

b) The margin of error is approximately 3.24

e) The critical value is 1.7921.

Step-by-step explanation:

<u>Step(i</u>):-

Given sample size 'n' =20

Given sample standard deviation 's' = 10

<u><em> Margin of error </em></u>

<u><em>The margin of error is determined by</em></u>

<u><em /></u>M.E = \frac{t_{\alpha } S.D }{\sqrt{n} }<u><em /></u>

<em>The level of significance ∝ =0.95</em>

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M.E = \frac{1.729 X10 }{\sqrt{20} }

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Step(ii):-

<u><em> Margin of error </em></u>

<u><em>The margin of error is determined by</em></u>

<u><em /></u>M.E = \frac{t_{\alpha } S.D }{\sqrt{n} }<u><em /></u>

<u><em>Given another sample size n =30</em></u>

<em>The level of significance ∝ =0.95</em>

<em>The degrees of freedom = n-1 = 30-1=29</em>

t₀.₉₅ = 1.70

M.E = \frac{1.7021 X10 }{\sqrt{30} } =3.24

<u><em>Margin of error = 3.24</em></u>

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