$$\mu = 28 , \sigma = 8 , \mathrm { n } = 22$$
A)
$\mu _{\bar { x }}= 28 , \sigma _{\bar { x }} = 1.706$
B)
$\mu _{\bar { x }} = 28 , \sigma _{\bar { x }}= 0.364$

C)
$\mu _{\bar { x }} = 28 , \sigma _{\bar { x }} = 8$

D)
$\mu _{\bar { x }}= 16.166 , \sigma _{\bar { x }}= 1.706$

Provide an appropriate response.

Question

$$\mu = 28 , \sigma = 8 , \mathrm { n } = 22$$
A)
$\mu _{\bar { x }}= 28 , \sigma   _{\bar { x }} = 1.706$  
B)
$\mu _{\bar { x }} = 28 , \sigma  _{\bar { x }}= 0.364$

C)
$\mu  _{\bar { x }} = 28 , \sigma  _{\bar { x }} = 8$

D) 
$\mu _{\bar { x }}= 16.166 , \sigma _{\bar { x }}= 1.706$

Provide an appropriate response.

Quizplus · Accepted Answer

The mean of the sampling distribution of the sample mean ($\mu_{\bar{x}}$) is equal to the population mean ($\mu$), which is 28. The standard deviation of the sampling distribution of the sample mean ($\sigma_{\bar{x}}$) is equal to the population standard deviation ($\sigma$) divided by the square root of the sample size ($n$), which calculates to $8 / \sqrt{22}$ or approximately 1.706.

μ=28,σ=8,n=22\mu = 28 , \sigma = 8 , \mathrm { n } = 22μ=28,σ=8,n=22

$\mu = 28 , \sigma = 8 , \mathrm { n } = 22$