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- Finding the Confidence Intervals when σ Is Known or s Is a Good Estimate of σ

- Finding the Confidence Intervals when σ Is Known or s Is a Good Estimate of σ. 예 ) (a) 면적의 50% : -0.67 σ ∼ +0.67 σ (b) 면적의 80% : -1.28 σ ∼ +1.28 σ (c) 면적의 90% : -1.64 σ ∼ +1.64 σ 예 ) 결과값 x 와 표준편차 σ 를 갖는 data (from Fig. c)

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- Finding the Confidence Intervals when σ Is Known or s Is a Good Estimate of σ

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  1. - Finding the Confidence Intervals when σ Is Known or s Is a Good Estimate of σ 예) (a) 면적의 50% : -0.67σ ∼ +0.67σ (b) 면적의 80% : -1.28σ ∼ +1.28σ (c) 면적의 90% : -1.64σ ∼ +1.64σ 예) 결과값 x와 표준편차 σ를 갖는 data (from Fig. c) →100번 중 90번의 확률로 x±1.64 σ범위에true mean μ이 존재 →confidence level = 90% →confidence interval = -1.64σ ∼ +1.64σ

  2. For a the experimental mean with N measurements x For a single measurement x ⇒ 4번 측정시 (N=4)→CI 반으로 줄어 듬 일반적으로 2 ∼ 4번 횟수 평균 함 ⇒Bias가 없고, s →σ일 때 적용

  3. 4.3 Comparison of Means with Student’s t

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