Determine the sampling error if the grade point averages for 10 randomly selected students from a class of 125 students has a mean of x = 2.3. Assume the grade point average of the 125 students has a mean of μ-2.7. O 0.04 02.1 O 2.5 O-0.4
Determine the sampling error if the grade point averages for 10 randomly selected students from a class of 125 students has a mean of x = 2.3. Assume the grade point average of the 125 students has a mean of μ-2.7. O 0.04 02.1 O 2.5 O-0.4
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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![**Problem Statement:**
Determine the sampling error if the grade point averages for 10 randomly selected students from a class of 125 students has a mean of \( \bar{x} = 2.3 \). Assume the grade point average of the 125 students has a mean of \( \mu = 2.7 \).
**Options:**
- A) 0.04
- B) 2.1
- C) 2.5
- D) -0.4
**Explanation:**
To determine the sampling error, use the formula:
\[ \text{Sampling Error} = \bar{x} - \mu \]
Where \( \bar{x} \) is the sample mean and \( \mu \) is the population mean.
Substituting the given values:
\[ \text{Sampling Error} = 2.3 - 2.7 = -0.4 \]
Therefore, the correct answer is option D) -0.4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59d94971-c4ee-4188-b521-ed6cff9deaa9%2F31fb00aa-1021-4897-93f3-0e59ef797e40%2Fosrkl3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Determine the sampling error if the grade point averages for 10 randomly selected students from a class of 125 students has a mean of \( \bar{x} = 2.3 \). Assume the grade point average of the 125 students has a mean of \( \mu = 2.7 \).
**Options:**
- A) 0.04
- B) 2.1
- C) 2.5
- D) -0.4
**Explanation:**
To determine the sampling error, use the formula:
\[ \text{Sampling Error} = \bar{x} - \mu \]
Where \( \bar{x} \) is the sample mean and \( \mu \) is the population mean.
Substituting the given values:
\[ \text{Sampling Error} = 2.3 - 2.7 = -0.4 \]
Therefore, the correct answer is option D) -0.4.
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