10.A sample of n = 25 scores has a mean of M = 40 and a standard deviation of s = 10. What is the estimated standard error for the sample mean? а. 4 с. /2 b. 2 d. 1
10.A sample of n = 25 scores has a mean of M = 40 and a standard deviation of s = 10. What is the estimated standard error for the sample mean? а. 4 с. /2 b. 2 d. 1
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![**Problem Statement**
A sample of \( n = 25 \) scores has a mean of \( M = 40 \) and a standard deviation of \( s = 10 \). What is the estimated standard error for the sample mean?
**Options**
a. 4
b. 2
c. \( \sqrt{2} \)
d. 1
---
**Explanation**
To find the estimated standard error for the sample mean, use the formula:
\[
SE = \frac{s}{\sqrt{n}}
\]
Where:
- \( s \) is the standard deviation (10),
- \( n \) is the sample size (25).
Plug the values into the formula:
\[
SE = \frac{10}{\sqrt{25}} = \frac{10}{5} = 2
\]
Therefore, the estimated standard error for the sample mean is 2.
**Correct Answer: b. 2**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c8f01e2-a14e-48cc-8752-a6869fe4cc3e%2F45fc6bf5-28a8-4912-bdf8-79e219bb8bb9%2F2cdi7ur_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement**
A sample of \( n = 25 \) scores has a mean of \( M = 40 \) and a standard deviation of \( s = 10 \). What is the estimated standard error for the sample mean?
**Options**
a. 4
b. 2
c. \( \sqrt{2} \)
d. 1
---
**Explanation**
To find the estimated standard error for the sample mean, use the formula:
\[
SE = \frac{s}{\sqrt{n}}
\]
Where:
- \( s \) is the standard deviation (10),
- \( n \) is the sample size (25).
Plug the values into the formula:
\[
SE = \frac{10}{\sqrt{25}} = \frac{10}{5} = 2
\]
Therefore, the estimated standard error for the sample mean is 2.
**Correct Answer: b. 2**
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