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 = 57 (≥), Ha: μ < 57, α = 0.02

Select: less than or equal to, greater than or equal to, at least as extreme as, at most as extreme as

Select: +, -, +/-

Critical value: ___________

(b) H0: μ = −93 (≥), Ha: μ < −93, α = 0.1

Select: less than or equal to, greater than or equal to, at least as extreme as, at most as extreme as

Select: +, -, +/-

Critical value: ___________

(c) H0: μ = 114, Ha: μ ≠ 114, α = 0.01

Select: less than or equal to, greater than or equal to, at least as extreme as, at most as extreme as

Select: +, -, +/-

Critical value: ___________

(d) H0: μ = 16 (≤), Ha: μ > 16, α = 0.05

Select: less than or equal to, greater than or equal to, at least as extreme as, at most as extreme as

Select: +, -, +/-

Critical value: ___________

Answer 1

a) Critical value

b) Critical value

c) Critical value

d) Critical value