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Anastasy [175]
3 years ago
12

There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the sel

ections independent or dependent? If the selections are dependent, can they be treated as independent for the purposes of calculations? Are the selections independent or dependent? A. The selections are independent, because the sample size is small relative to the population. B. The selections are dependent, because the sample size is not small relative to the population. C. The selections are independent, because the selection is done without replacement. D. The selections are dependent, because the selection is done without replacement.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as independent for the purposes of calculations? - Option D is the best answer.

If the selections are dependent, can they be treated as independent for the purposes of calculations? Option A is the best answer.

Step-by-step explanation:

There are 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without replacement - The selections are dependent, because the selection is done without replacement - Option D.

If the selections are dependent, can they be treated as independent for the purposes of calculations - The selections are independent, because the sample size is small relative to the population - Option A.

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<em>95% of confidence interval for the Population</em>

<em>( 6.1386 , 6.8614)</em>

Step-by-step explanation:

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

<em>Given random sample size 'n' =85</em>

<em>Mean of the sample size x⁻ = 6.5 years</em>

<em>Standard deviation of Population = 1.7 years</em>

<em>Level of significance = 0.95 or 0.05</em>

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<em>95% of confidence interval for the Population is determined by</em>

<em></em>(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} })<em></em>

<em></em>(6.5 - 1.96\frac{1.7}{\sqrt{85} } , 6.5 + 1.96 \frac{1.7}{\sqrt{85} })<em></em>

<em>( 6.5 - 0.3614 , 6.5 + 0.3614 )</em>

<em>( 6.1386 , 6.8614)</em>

<u><em>Conclusion</em></u><em>:-</em>

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