APMA 3120 Final Exam Question and answers 100%correct 2025/2026

APMA 3120 Final Exam Question and answers 100%correct
2025/2026
1. Definition of the bias
of an estimator

2. Population
variance, E(X^2) - E(X)^2
calculation

3. Standardizing
transfor- mation for
random vari- ables:


4. t distribution distribution of a small sample from a normal random variable
(n<30)
5. Type I Error Rejection of a true null hypothesis




6. Type II Error Acceptance of a false null hypothesis




7. Power of a test 1 - Beta
8. Confidence interval z_(alpha/2) for two-sided




9.

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, APMA 3120 Final Exam Question and answers 100%correct
2025/2026
Relationship betweenLet's say that you "reject if sample mean is > z". Find the p-value associ-
alpha, acceptance
re- gion, beta, and ated with being greater than or equal to z. That's your alpha.
power




10. Test for population
mean, with known
σ

11. Test for population
mean, σ unknown, n < 40, use test statistic t with n-1 degrees of freedom
small sample:

12. Tests for population
proportion, large
sam- ple: np >= 10, n(1-p) >= 10


13. Tests for population
proportion, small
sam- ple:
Use binomial
14. Tests for
population
variance:

Chi-squared test: use test stat to find a p-value given a null
15. Two-population test hypothesis σ^2 = s^2
for means with normal
pop-




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