Given the following sampling distribution of one mean with a sample size 9, from a normally distributed population, find the population standard deviation, o. 77 78 79 80 81 82 83

MATLAB: An Introduction with Applications
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### Problem Statement:

Given the following sampling distribution of one mean with a sample size of 9, from a normally distributed population, find the population standard deviation, σ.

### Diagram Description:

The diagram is a symmetrical bell curve representing a normal distribution. 

- **X-Axis (Horizontal Scale):** Labeled with values ranging from 77 to 83 at equidistant intervals.
- **Central Value:** 80, indicating the mean of the distribution.
- The curve is divided by vertical lines at each integer from 77 to 83, showing segments corresponding to standard deviations from the mean.

### Objective:

Calculate the population standard deviation, σ, based on the given sampling distribution and specified sample size. 

---

This educational task involves understanding the relationship between sample size, standard error, and population standard deviation using the properties of normal distribution.
Transcribed Image Text:### Problem Statement: Given the following sampling distribution of one mean with a sample size of 9, from a normally distributed population, find the population standard deviation, σ. ### Diagram Description: The diagram is a symmetrical bell curve representing a normal distribution. - **X-Axis (Horizontal Scale):** Labeled with values ranging from 77 to 83 at equidistant intervals. - **Central Value:** 80, indicating the mean of the distribution. - The curve is divided by vertical lines at each integer from 77 to 83, showing segments corresponding to standard deviations from the mean. ### Objective: Calculate the population standard deviation, σ, based on the given sampling distribution and specified sample size. --- This educational task involves understanding the relationship between sample size, standard error, and population standard deviation using the properties of normal distribution.
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