ANSWERS VERIFIED TO PASS
2025/2026
standardize RV X - correct answer ✔(x-µ)/σ
C.I. - normal dist and known sigma - correct answer ✔[x±(z_α/2)(σ/√n)
C.I. - non-normal and unknown sigma; large sample - correct answer ✔[x±(z_α/2)(s/√n)]
C.I. - normal and unknown sigma; small sample - correct answer ✔[x±(t_α/2)(s/√n)]
Type I Error - correct answer ✔Null correct but we reject
Type II Error - correct answer ✔Null false but we fail to reject
Hypothesis Test for M (1 sample) - Normal and sigma known - correct answer ✔z=(x-µ)/(σ/√n)
Hypothesis Test for M (1 sample) - Non-normal, sigma unknown, large sample (n>=30) - correct answer
✔z=(x-µ)/(s/√n)
Hypothesis Test for M (1 sample) - normal, sigma unknown, small sample (n<30) - correct answer
✔t=(x-µ)/(s/√n); df=n-1
Power of Test - correct answer ✔1-β(µ')