Chapter 13.3, Problem 6Q

Let $D_1,D_2,\mathrm{...},D_b$ be the within-block differences as defined in this section. Assume that the Di’s are normal with mean ${\text{μ}}_D$ and variance ${\text{σ}}_D^2$,

For $i=1,2,\mathrm{...},b.$ Derive a formula for a $100\left(1-a\right)\%$ confidence interval for ${\text{μ}}_D.$ Apply this formula to the data of Case Study 13.3.1 and construct a 95% confidence interval for the true average hemoglobin difference (“before walk” − “after walk”).