IDNStudy.com, ang perpektong platform para sa eksaktong at mabilis na mga sagot. Makakuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa aming mga eksperto na laging handang tumulong.
Answer:
To find the standard deviation of the sampling distribution (also known as the standard error of the mean), you use the following formula:
\[ \text{Standard Error (SE)} = \frac{\sigma}{\sqrt{n}} \]
where:
- \(\sigma\) is the population standard deviation
- \(n\) is the sample size
Given:
- Population standard deviation (\(\sigma\)) = 25
- Sample size (\(n\)) = 20
Now, plug in the values:
\[ \text{SE} = \frac{25}{\sqrt{20}} \]
First, calculate \(\sqrt{20}\):
\[ \sqrt{20} \approx 4.47 \]
Then, divide 25 by 4.47:
\[ \text{SE} \approx \frac{25}{4.47} \approx 5.59 \]
So, the standard deviation of the sampling distribution is approximately 5.59.