Question
The value of \( \frac{\sigma}{\sqrt{n}} \) for \( n=100 \) is . Round to four decimal places.
Ask by Schmidt Sanders. in the United States
Dec 08,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \frac{\sigma}{10} \)
Solution
Calculate or simplify the expression \( \frac{\sigma}{\sqrt{100}} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{\sigma }{\sqrt{100}}\)
- step1: Simplify the root:
\(\frac{\sigma }{10}\)
The value of \( \frac{\sigma}{\sqrt{n}} \) for \( n=100 \) is \( \frac{\sigma}{10} \). To round this to four decimal places, we need to know the value of \( \sigma \) to calculate the exact value.
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Simplify this solution The Deep Dive
To calculate \( \frac{\sigma}{\sqrt{n}} \) when \( n = 100 \), we need to know the value of \( \sigma \), which represents the standard deviation. However, since you haven't provided \( \sigma \), let's assume a hypothetical value. If \( \sigma = 10 \), then: \[ \frac{\sigma}{\sqrt{n}} = \frac{10}{\sqrt{100}} = \frac{10}{10} = 1.0000 \] Therefore, if you have a specific \( \sigma \), just replace 10 with that value. If \( \sigma \) is known, you can simply calculate \( \frac{\sigma}{10} \) and round to four decimal places based on that value.
