머숨 미러

Robert Vincent Hogg, Joseph Walter McKean, Allen Thornton Craig. Introduction to Mathematical Statistics, 8th edition (Pearson, 2018)

Chapter 4. Some Elementary Statistical Inferences 제4장. 몇몇 기본적인 통계적 추론

Section 2. Confidence Intervals 제2절. 신뢰 구간

예제(Exercise) 25 및 해설(Solution)

To illustrate Exercise 4.2.24, let X1, X2, ..., X9 and Y1, Y2, ..., Y12 represent two independent random samples from the respective normal distributions N(μ1, σ12) and N(μ2, σ22). It is given that σ12 = 3σ22, but σ22 is unknown. Define a random variable that has a t-distribution that can be used to find a 95% confidence interval for μ1 - μ2.