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  1. 홈
  2. 계산기
  3. 계산기: 확률/통계
  4. 확률/통계 계산기

오차한계 계산기

오차한계를 단계별로 계산

이 계산기는 주어진 표본 크기와 분포를 바탕으로 오차한계를 구하며, 단계별 풀이도 제공합니다.

Sample size: `n=`

Confidence level: %

standard deviation:

Distribution used:
If the population standard deviation is known or the sample size is `n>30`, normal distribution will be chosen automatically. To force another distribution, choose it explicitly.

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Solution

Your input: find the margin of error for the sample size $$$n=64$$$, standard deviation $$$\sigma=7$$$, and confidence level $$$95.0 \%$$$ using normal distribution.

First, find the critical value: $$$z_{\frac{\alpha}{2}}=1.95996398454005$$$

Next, find the standard error of the mean: $$$SE=\frac{\sigma}{\sqrt{n}}=\frac{7}{8}$$$

Finally, the margin of error is $$$ME=z_{\frac{\alpha}{2}} \cdot SE=1.95996398454005 \cdot \left(\frac{7}{8}\right) \approx 1.71496848647255$$$

Answer: $$$ME=1.71496848647255$$$


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