Suppose a population distribution has a mean of 86.1 and a a random sample of 83 observations from this population has a mean of 74.6. The sampling error of a is: 02.8 O-11.5 -27.7 22.5
Suppose a population distribution has a mean of 86.1 and a a random sample of 83 observations from this population has a mean of 74.6. The sampling error of a is: 02.8 O-11.5 -27.7 22.5
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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#5).
![### Sampling Error Calculation Example
Suppose a population distribution has a mean of 86.1, and a random sample of 83 observations from this population has a mean of 74.6. The sampling error of \(\bar{x}\) is:
- ○ 2.8
- ○ -11.5
- ○ -27.7
- ○ 22.5
#### Explanation:
Sampling error represents the difference between the population mean and the sample mean. It is calculated as:
\[ \text{Sampling Error} = \text{Sample Mean} (\bar{x}) - \text{Population Mean} (\mu) \]
Given in the problem:
- Population Mean (\(\mu\)) = 86.1
- Sample Mean (\(\bar{x}\)) = 74.6
Calculate the sampling error:
\[ \text{Sampling Error} = 74.6 - 86.1 = -11.5 \]
Thus, the correct sampling error is -11.5.
#### Answer:
○ -11.5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc94cb5d1-997a-49d0-b0ef-9ec02bf0a187%2F987c1859-d251-4145-b78b-1a2415c95cf3%2Fr9hhux_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Sampling Error Calculation Example
Suppose a population distribution has a mean of 86.1, and a random sample of 83 observations from this population has a mean of 74.6. The sampling error of \(\bar{x}\) is:
- ○ 2.8
- ○ -11.5
- ○ -27.7
- ○ 22.5
#### Explanation:
Sampling error represents the difference between the population mean and the sample mean. It is calculated as:
\[ \text{Sampling Error} = \text{Sample Mean} (\bar{x}) - \text{Population Mean} (\mu) \]
Given in the problem:
- Population Mean (\(\mu\)) = 86.1
- Sample Mean (\(\bar{x}\)) = 74.6
Calculate the sampling error:
\[ \text{Sampling Error} = 74.6 - 86.1 = -11.5 \]
Thus, the correct sampling error is -11.5.
#### Answer:
○ -11.5
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