Find two samples when population is normal and Ϭ is known and equal

Example:

A random sample of size 36 from a normal population with variance 24 gave X̅=15 A second sample of size 28 from another normal population with variance 24 give   X̅2=13. test   Ho:μ₁-μ₂=0 against H1: μ₁-μ₂≠0. Let α =0.05 For Two Sided Formulas
Z-test = X̅₁ -X̅₂ /σ*(√1/n₁  +1/n ₂)   Z-cal = X̅₁ -X̅₂ /σ*(√1/n₁  +1/n ₂)         Z-tab =NORMSINV(1-0.05/2) P-value =2*(1-NORMSDIST(E21))  two samples when population is normal  and Ϭ is known and equal for two sided For One Sided Upper Tail Formulas Z-test = X̅₁ -X̅₂ /σ*(√1/n₁  +1/n ₂)   Z-cal = X̅₁ -X̅₂ /σ*(√1/n₁  +1/n ₂)   Z-tab =NORMSINV(1-prob) P-value =NORMSDIST(z-cal))       Find two samples when population is normal  and Ϭ is known and equal  for one sided upper tail Lower Tail Formulas Z-test = X̅₁ -X̅₂ /σ*(√1/n₁  +1/n ₂)   Z-cal = X̅₁ -X̅₂ /σ*(√1/n₁  +1/n ₂)         Z-tab =NORMSINV(1-prob) P-value =NORMSDIST(z-cal))

Find two samples when population is normal  and Ϭ is known and equal  for one sided lower tail