Important Online Estimation Quiz 7

Online Estimation Quiz from Statistical Inference covers the topics of Estimation and Hypothesis Testing for the preparation of exams and different statistical job tests in Government/ Semi-Government or Private Organization sectors. These tests are also helpful in getting admission to different colleges and Universities. The online MCQS estimation quiz will help the learner understand the related concepts and enhance their knowledge.

MCQs about statistical inference covering the topics estimation, estimator, point estimate, interval estimate, properties of a good estimator, unbiasedness, efficiency, sufficiency, Large sample, and sample estimation.

1. For $\alpha=0.05$, the critical value of $Z_{0.05}$ is equal to

2. If the population Standard Deviation is unknown and the sample size is less than 30, then the Confidence Interval for the population mean ($\mu$) is

3. The consistency of an estimator can be checked by comparing

4. The width of the confidence interval decreases if the confidence coefficient is

5. In applying t-test

6. A confidence interval will be widened if:

7. A sample is considered a small sample if the size is

8. A statistician calculates a 95% confidence interval for $\mu$ when $\sigma$ is known. The confidence interval is Rs 18000 to 22000, and then amount of sample means $\overline{X}$ is:

9. A large sample contains more than

10. If $\mu=130, \overline{X}=150, \sigma=5$, and $n=10$. What Statistic is appropriate.

11. t-distribution is used when

12. For a biased estimator $\hat{\theta}$ of $\theta$, which one of the following is correct.

13. Criteria to check a point estimator to be good are

14. The best estimator of population proportion ($\pi$) is:

15. If $1-\alpha=0.90$ then value of $Z_{\frac{\alpha}{2}}$ is

16. If $Var(T_2)<Var(T_1)$ then $T_2$ is

17. By decreasing $\overline{X}$ the length of the confidence interval for $\mu$

18. In a $Z$-test the number of degrees of freedom is

19. Interval estimation and confidence interval are:

20. Which is NOT the property of a point estimator?

Statistical inference is a branch of statistics in which we conclude (make some wise decisions) about the population parameter using sample information. Statistical inference can be further divided into the Estimation of the Population Parameters and the Hypothesis Testing.

Estimation is a way of finding the unknown value of the population parameter from the sample information by using an estimator (a statistical formula) to estimate the parameter. One can estimate the population parameter by using two approaches (I) Point Estimation and (ii) Interval Estimation.

Online Estimation Quiz

• A large sample contains more than
• A sample is considered a small sample if the size is
• In applying t-test
• t-distribution is used when
• If the population Standard Deviation is unknown and the sample size is less than 30, then the Confidence Interval for the population mean ($\mu$) is
• If $\mu=130, \overline{X}=150, \sigma=5$, and $n=10$. What Statistic is appropriate?
• If $1-\alpha=0.90$ then value of $Z_{\frac{\alpha}{2}}$ is
• For $\alpha=0.05$, the critical value of $Z_{0.05}$ is equal to
• In a $Z$-test the number of degrees of freedom is
• The width of the confidence interval decreases if the confidence coefficient is
• By decreasing $\overline{X}$ the length of the confidence interval for $\mu$
• A statistician calculates a 95% confidence interval for $\mu$ when $\sigma$ is known. The confidence interval is Rs 18000 to 22000, and then the amount of sample means $\overline{X}$ is:
• Criteria to check a point estimator to be good are
• The consistency of an estimator can be checked by comparing
• If $Var(T_2)<Var(T_1)$ then $T_2$ is
• For a biased estimator $\hat{\theta}$ of $\theta$, which one of the following is correct?
• Which is NOT the property of a point estimator?
• The best estimator of population proportion ($\pi$) is:
• Interval estimation and confidence interval are:
• A confidence interval will be widened if:

In point estimation, a single numerical value is computed for each parameter, while in an interval estimation, a set of values (interval) for the parameter is constructed. The width of the confidence interval depends on the sample size and confidence coefficient. However, it can be decreased by increasing the sample size. The estimator is a formula used to estimate the population parameter by making use of sample information.

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