Use the pivotal statistic T given in Exercise 7.22 to derive a (1 - )100% small-sample confidence

Use the pivotal statistic T given in Exercise 7.22 to derive a (1 - α)100% small-sample confidence interval for (μ₁ - μ₂).

Data from Exercise 7.22

Refer to Exercises 7.20 and 7.21. The pooled estimator of the common variance σ² is given by

Data from Exercise 7.20

Let (y̅₁, s₁²) and (y̅₂ , s₂²) be the means and variances of two independent random samples of sizes n₁ and n₂, respectively, selected from normal populations with different means, μ₁ and μ₂, but with a common variance, σ². 

Transcribed Image Text:

(n1-1)류 + (n2-1)로 n + n2 - 2 ||