Questions: A teacher randomly selects 10 out of her 30 students and finds that the mean height of those 10 students is 5' 2". Is this a sample mean or a population mean, and which symbol would be used to denote it? Select the correct answer below: Population Mean μ Sample Mean μ Sample Mean x̄ Population Mean x̄

A teacher randomly selects 10 out of her 30 students and finds that the mean height of those 10 students is 5' 2". Is this a sample mean or a population mean, and which symbol would be used to denote it?

Select the correct answer below:
Population Mean μ
Sample Mean μ
Sample Mean x̄
Population Mean x̄

Transcript text: A teacher randomly selects 10 out of her 30 students and finds that the mean height of those 10 students is $5^{\prime} 2$ ". Is this a sample mean or a population mean, and which symbol would be used to denote it? Select the correct answer below: Population Mean $\mu$ Sample Mean $\mu$ Sample Mean $\bar{x}$ Population Mean $\bar{x}$

Solution

Solution Steps

To determine whether the mean height of the 10 students is a sample mean or a population mean, we need to consider the context. Since the teacher is selecting a subset (10 out of 30) of the total students, this is a sample mean. The symbol used to denote a sample mean is $\bar{x}$.

Step 1: Identify the Type of Mean

To determine whether the mean height of the 10 students is a sample mean or a population mean, we need to consider the context. The teacher is selecting a subset (10 out of 30) of the total students. This indicates that the mean is calculated from a sample of the population.

Step 2: Determine the Appropriate Symbol

The symbol used to denote a sample mean is $\bar{x}$.