91影视

a. n= 1,000, N= 2,500

b. n= 1,000, N= 5,000

c. n= 1,000, N= 10,000

d. n= 1,000, N= 100,000

a.

The percentage of the population sample is

$\begin{array}{c}\text{笔别谤肠别苍迟补驳别鈥塷蹿鈥塸辞辫耻濒补迟颈辞苍鈥塻补尘辫濒别}=\frac{n}{N}脳100\%\\ =\frac{1000}{2500}脳100\%\\ =40\%\end{array}$

The population correction factor is

$\begin{array}{c}\text{PCF}=\sqrt{1鈭�\frac{n}{N}}\\ =\sqrt{1鈭�\frac{1000}{2500}}\\ =\sqrt{0.60}\\ =0.7746\end{array}$

b.

The percentage of the population sample is

$\begin{array}{c}\text{笔别谤肠别苍迟补驳别鈥塷蹿鈥塸辞辫耻濒补迟颈辞苍鈥塻补尘辫濒别}=\frac{n}{N}脳100\%\\ =\frac{1000}{5000}脳100\%\\ =20\%\end{array}$

The population correction factor is

$\begin{array}{c}\text{PCF}=\sqrt{1鈭�\frac{n}{N}}\\ =\sqrt{1鈭�\frac{1000}{5000}}\\ =\sqrt{0.80}\\ =0.8944\end{array}$

c.

The percentage of the population sample is

$\begin{array}{c}\text{笔别谤肠别苍迟补驳别鈥塷蹿鈥塸辞辫耻濒补迟颈辞苍鈥塻补尘辫濒别}=\frac{n}{N}脳100\%\\ =\frac{1000}{10000}脳100\%\\ =10\%\end{array}$

The population correction factor is

$\begin{array}{c}\text{PCF}=\sqrt{1鈭�\frac{n}{N}}\\ =\sqrt{1鈭�\frac{1000}{10000}}\\ =\sqrt{0.90}\\ =0.9487\end{array}$

d.

The percentage of the population sample is

$\begin{array}{c}\text{笔别谤肠别苍迟补驳别鈥塷蹿鈥塸辞辫耻濒补迟颈辞苍鈥塻补尘辫濒别}=\frac{n}{N}脳100\%\\ =\frac{1000}{100000}脳100\%\\ =1\%\end{array}$

The population correction factor is

$\begin{array}{c}\text{PCF}=\sqrt{1鈭�\frac{n}{N}}\\ =\sqrt{1鈭�\frac{1000}{100000}}\\ =\sqrt{0.99}\\ =0.9950\end{array}$