Chapter 8.1, Problem 2E

For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscripts 1 and 2 differentiate between quantities for two different populations or samples):

1. a. H₀: μ = 100, H_a: μ > 100
2. b. H₀: σ = 20, H_a: σ ≤ 20
3. c. H₀: p ≠ .25, H_a: p = .25
4. d. H₀: μ₁ − μ₂ = 25, H_a: μ₁ − μ₂ > 100
5. e. $H_0:S_1^2=S_2^2,H_a:S_1^2\ne S_2^2$
6. f. H₀: μ = 120, H_a: μ = 150
7. g. H₀: σ₁/σ₂ = 1, H_a: σ₁/σ₂ ≠ 1
8. h. H₀: p₁ − p₂ = −.1, H_a: p₁ − p₂ < −.1