1. Given that X‾= 78, σ² = 25, n = 10, and α = .05, test H₀:µ > 80, assuming observations are randomly sampled from a normal distribution. Also, draw the standard normal distribution indicating where Z and the critical value are located.

2. Repeat given Exercise, but test H₀:µ = 80.

Exercise
Given that X‾ = 78, σ² = 25, n = 10, and α = .05, test H₀:µ > 80, assuming observations are randomly sampled from a normal distribution. Also, draw the standard normal distribution indicating where Z and the critical value are located.