Question

Determine the critical region and the critical values used to test the following null hypotheses. (Assume a Z-test statistic is appropriate here.)

(a)

H₀: μ = 60 (≥),

H_a:

μ < 60, α = 0.01

---Select--- less than or equal to greater than or equal to at least as extreme as at most as extreme as  ---sign--- + - ±

(b)

H₀: μ = −83 (≥),

H_a:

μ < −83, α = 0.1

---Select--- less than or equal to greater than or equal to at least as extreme as at most as extreme as  ---sign--- + - ±

(c)

H₀: μ = 112,

H_a:

μ ≠ 112, α = 0.05

---Select--- less than or equal to greater than or equal to at least as extreme as at most as extreme as  ---sign--- + - ±

(d)

H₀: μ = 19.9 (≤),

H_a:

μ > 19.9, α = 0.02

---Select--- less than or equal to greater than or equal to at least as extreme as at most as extreme as  ---sign--- + - ±

Answer 1