Determine µ; and o; from the given parameters of the population and sample size. H = 82, o = 8, n = 64 %3D
Determine µ; and o; from the given parameters of the population and sample size. H = 82, o = 8, n = 64 %3D
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Lesson 8.1.9: Determining Sample Mean and Sample Standard Deviation**
In this exercise, you will determine the sample mean \(\mu_{\bar{x}}\) and the sample standard deviation \(\sigma_{\bar{x}}\) from the given parameters of the population and sample size.
**Provided Parameters:**
- Population mean (\(\mu\)): 82
- Population standard deviation (\(\sigma\)): 8
- Sample size (\(n\)): 64
**Task:**
Calculate the sample mean \(\mu_{\bar{x}}\).
**Formulas:**
- The sample mean \(\mu_{\bar{x}}\) is equal to the population mean \(\mu\).
- The sample standard deviation \(\sigma_{\bar{x}}\) is calculated as:
\[
\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}}
\]
**Application:**
Enter the calculated value for \(\mu_{\bar{x}}\) in the provided input field. Consider this formula and apply it in practical scenarios to better understand sample distributions in statistics.
**Note:**
Understanding these calculations helps in analyzing data patterns and making informed decisions based on sample data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0c7ed93-16ac-4709-a60a-fa510093f846%2F11b6cd2e-7877-4df0-9368-bb86b9fb4d0e%2Ftgu4f3d_processed.png&w=3840&q=75)
Transcribed Image Text:**Lesson 8.1.9: Determining Sample Mean and Sample Standard Deviation**
In this exercise, you will determine the sample mean \(\mu_{\bar{x}}\) and the sample standard deviation \(\sigma_{\bar{x}}\) from the given parameters of the population and sample size.
**Provided Parameters:**
- Population mean (\(\mu\)): 82
- Population standard deviation (\(\sigma\)): 8
- Sample size (\(n\)): 64
**Task:**
Calculate the sample mean \(\mu_{\bar{x}}\).
**Formulas:**
- The sample mean \(\mu_{\bar{x}}\) is equal to the population mean \(\mu\).
- The sample standard deviation \(\sigma_{\bar{x}}\) is calculated as:
\[
\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}}
\]
**Application:**
Enter the calculated value for \(\mu_{\bar{x}}\) in the provided input field. Consider this formula and apply it in practical scenarios to better understand sample distributions in statistics.
**Note:**
Understanding these calculations helps in analyzing data patterns and making informed decisions based on sample data.
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