APMA 3120 MIDTERM
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')
Hypothesis Test for proportion (1 sample) - correct answer ✔✔z=(p^-p0)/√[(p0*(1-p0)]/N]; check >= 10
Hypothesis Test for Variance (1 sample) - correct answer ✔✔X^2=[(N-1)*s^2]/(σ0)^2; df=n-1
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')
Hypothesis Test for proportion (1 sample) - correct answer ✔✔z=(p^-p0)/√[(p0*(1-p0)]/N]; check >= 10
Hypothesis Test for Variance (1 sample) - correct answer ✔✔X^2=[(N-1)*s^2]/(σ0)^2; df=n-1
