Given a Normal Distribution with standard error of 11 from a population with a mean of 135 and a standard deviation of 66, find the sample size (i.e. how many people or items were sampled from the population?). n =
Given a Normal Distribution with standard error of 11 from a population with a mean of 135 and a standard deviation of 66, find the sample size (i.e. how many people or items were sampled from the population?). n =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Question:**
Given a Normal Distribution with a standard error of 11 from a population with a mean of 135 and a standard deviation of 66, find the sample size (i.e., how many people or items were sampled from the population?).
\[ n = \]
**Explanation:**
The problem involves calculating the sample size of a population given specific statistical parameters.
- **Standard Error (SE):** 11
- **Mean (\(\mu\)) of the Population:** 135
- **Standard Deviation (\(\sigma\)) of the Population:** 66
The formula to find the sample size (\( n \)) using the standard error and standard deviation is:
\[ n = \left(\frac{\sigma}{SE}\right)^2 \]
By plugging the values into this formula, you can calculate the sample size for the population.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff821f9aa-4788-41c9-90a4-53f493bbfa90%2Fc3ab9f0a-351c-4a0a-b0a0-94d248f57477%2Fg7wirta_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
Given a Normal Distribution with a standard error of 11 from a population with a mean of 135 and a standard deviation of 66, find the sample size (i.e., how many people or items were sampled from the population?).
\[ n = \]
**Explanation:**
The problem involves calculating the sample size of a population given specific statistical parameters.
- **Standard Error (SE):** 11
- **Mean (\(\mu\)) of the Population:** 135
- **Standard Deviation (\(\sigma\)) of the Population:** 66
The formula to find the sample size (\( n \)) using the standard error and standard deviation is:
\[ n = \left(\frac{\sigma}{SE}\right)^2 \]
By plugging the values into this formula, you can calculate the sample size for the population.
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