Consider the derivation of Equation (4.5) for the sample size of a two-sample z-test with known variance and equal allocation.

a. Identify terms in Equation (4.2) that are smaller than $\alpha / 2$ and derive line (4.3) based on the information.

b. Show how Equation (4.4) is derived from Equation (4.3).

Data from Equation 4.2

Data from Equation 4.3

Data from Equation 4.4

Data from Equation 4.5

Transcribed Image Text:

01 01 1-3 PZ21-a/2 Z