# Estimation Quiz 5

MCQs from Statistical Inference covering 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 Estimation Quiz will help the learner to understand the related concepts and enhance the knowledge too.

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

2. For a normal population with known population standard deviations $\sigma_1$ and $\sigma_2$ ,the confidence interval estimate for the difference between two population mean $(\mu_1-\mu_2)$ is

3. A statistic is an unbiased estimator of a parameter if:

4. For a large sample, the confidence interval estimate for the difference between two population proportions $p_1-p_2$ is

5. If the population standard deviation $\sigma$ is unknown and the sample size $n$ is less than or equal to 30, the confidence interval for the population mean $\mu$ is

6. If the population standard deviation ($\sigma$) is unknown and the sample size ($n$) is greater than 30, the confidence interval for the population mean $\mu$ is

7. Which one of the following is a biased estimator?

8. Suppose the 90% confidence Interval for population mean $\mu$ is -24.3 cents to 64.3 cents, the sample mean $\overline{X}$ is

9. If the population standard deviation ($\sigma$) is known and the sample size ($n$) is less than or equal to or more than 30, the confidenc interval for the population mean ($\mu$) will be

10. In the case of paired observations (for a small sample $n\le 30$), the confidence interval estimate for the difference of two population means $\mu_1-\mu_2=\mu_d$ is

11. The following statistics are unbiased estimators

12. If $n_1, n_2\le 30$ the confidence interval estimate for the difference of two population means ($\mu_1-\mu_2$) when population standard deviations $\sigma_1, \sigma_2$ are unknown but equal in case of pooled variates is:

13. For $n$ paired number of observations, the degrees of freedom for Paired Sample t-test will be

14. If t-distribution for two independent sample $n_1=n_2=n$, then the degrees of freedom will be

15. A 95% confidence interval for population proportion is 32.4% to 47.6%, the value of the sample proportion $\hat{p}$ is

Most of the MCQs on this page are covered from Estimate and Estimation, Testing of Hypothesis, Parametric and Non-Parametric tests, etc. Let’s start the MCQs Hypothesis Testing quiz now.

Statistical inference is a branch of statistics in which we draw conclusions (make wise decisions) about the population parameter by making use of sample information. Statistical inference can be further divided into Estimation of parameters and testing of hypothesis.

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.
Point Estimation a single numerical value is computed for each parameter, while in 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.