a simple random sample is drawn from a normally distributed population. the value of which of the following…

a simple random sample is drawn from a normally distributed population. the value of which of the following will not be known for certain but can be inferred?\n○ $mu$\n○ $\bar{x}$\n○ $s$\n○ $n$

a simple random sample is drawn from a normally distributed population. the value of which of the following will not be known for certain but can be inferred?\n○ $mu$\n○ $\bar{x}$\n○ $s$\n○ $n$

Answer

Answer:

A. $\mu$

Explanation:

Step1: Define symbols

$\mu$ is population - mean, $\bar{x}$ is sample - mean, $s$ is sample - standard deviation, $n$ is sample - size.

Step2: Analyze sample - related statistics

The sample - mean $\bar{x}$, sample - standard deviation $s$, and sample - size $n$ can be directly calculated from the sample data. For example, $\bar{x}=\frac{1}{n}\sum_{i = 1}^{n}x_{i}$, $s=\sqrt{\frac{1}{n - 1}\sum_{i=1}^{n}(x_{i}-\bar{x})^{2}}$, and $n$ is just the number of data points in the sample.

Step3: Analyze population - mean

The population - mean $\mu$ is a parameter of the entire population. When we have only a sample from a normally - distributed population, we do not know the exact value of $\mu$ for certain. However, we can use the sample data to infer (e.g., through confidence intervals or hypothesis testing) about the value of $\mu$.