Questions: The standard deviation of the sampling distribution of x̄, denoted σx̄, is called the

Transcript text: The standard deviation of the sampling distribution of $\bar{x}$, denoted $\sigma_{\bar{x}}$, is called the $\square$

Solution

Solution Steps

Step 1: Understanding the question

The question asks for the term used to describe the standard deviation of the sampling distribution of the sample mean, denoted as $\sigma_{\overline{\mathrm{x}}}$.

Step 2: Recall the definition

The standard deviation of the sampling distribution of the sample mean ($\sigma_{\overline{\mathrm{x}}}$) is a measure of how much the sample mean ($\overline{\mathrm{x}}$) varies from sample to sample. This is a key concept in statistics and has a specific name.

Step 3: Identify the correct term

The standard deviation of the sampling distribution of the sample mean is called the standard error of the mean.

Final Answer

The standard deviation of the sampling distribution of $\overline{\mathrm{x}}$, denoted $\sigma_{\overline{\mathrm{x}}}$, is called the $\boxed{\text{standard error of the mean}}$.

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