STA301 MCQs Mega File

STATISTICS AND PROBABILITY – STA301 (QUIZ) Lectures 36-40

1. Sample proportion is an/are ___ estimator of population mean.

Unbiased

Unbiased ad consistent estimator

Q2. Which of the following is most important and most widely used method in point estimation?

The method of moments The method of fractional moments The method of maximum likelihood The method of least square

3. A statistic whose standard error decreases with an increase in the sample size will be:

Unbiased None

Efficient

4. We can apply method of Maximum Likelihood on:

Discrete variables only Discrete as well as continuous variables Continuous variables only Qualitative variables only

5. β is the probability of:

Accept H0/H0 is true Accept H0/H0 is false Reject H0/H0 is true Reject H0/H0 is false

6. Accept H0/H0 is false, is the ________.
7. Conventionally, the probability of making a type-II error is denoted by:

Beta Sigma Alpha Theta

8. ________ are equivalent:

Type-II error and level of significance Type-II error and level of confidence Type-I error and level of significance Type-I error and level of confidence

9. In general, the estimators obtained by the method of moments are ______.

Inconsistent Biased Inefficient

10. The larger the n, the smaller the standard error, and so the narrower the:

Confidence level

source Google

11. If we have the following information:

p=0.16, q=0.84, z=1.96 and e=0.05, then sample size will be:

n = z2.p.q/ e2

12. “A point estimate plus/minus a few times the standard error of that estimate”. This statement represents:

Critical value Acceptance region Critical region

13. The maximum likelihood estimators (MLE) are ____ and ____ but not necessarily____.

Unbiased, consistent, efficient Consistent, efficient, unbiased Unbiased, efficient, consistent Consistent, unbiased, efficient

14. Inferential statistics involves

Testing of hypothesis Estimation

All of above

15. Method of moments for estimation of parameters is based on the theory of

Both linear and non linear

(Not sure)

Linear estimation Nonlinear estimation

16. If Var (mean1) < Var (mean2) it implies

Mean 1 is more consistent Mean 2 is more consistent Mean 2 is more efficient Mean 1 is more efficient

17. An estimator is said to be efficient if it has

Smallest variance Unbiased estimate

18. In binomial distribution the sample size is considered to the sufficiently large, if both np and nq are greater than or equal to:

Q19. Which of the following relationship exist between sampling distribution of samples mean and sampling distribution samples median?

Var(mean)<var(median) Both of these

Var(median)<var(median)

20. Alpha is probability of ______

Making type II error Rejection H1 when it is wrong Making type I error Accepting Ho when it is true

Q21. How can we interpret the 90% confidence interval for the mean of the normal population?

There are 10%chances of falling true the value of the parameters All are correct There are 90% chances of falling true the value of the parameters (page no. 263 handouts) There are 100% chances of falling true the value of the parameters