MCQs Estimation 4

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 and Hypothesis Testing 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. The number of values that are free to vary after a certain restriction are applied to the data is called


2. A 95% confidence interval for the mean of a population is such that


3. The shape of the t-distribution depends upon the


4. By increasing the sample size, the precision of confidence interval is ______


5. A confidence interval will be widened if


6. If $(1-\alpha)$ is increased, the width of a confidence interval is


7. If the population standard deviation $\sigma$ is known, the confidence interval for the population mean $\mu$ is based on


8. If the population standard deviation $\sigma$ is unknown, and the sample size is small ($n\le 30$), the confidence interval for the population mean $\mu$ is based on


9. If the population standard deviation $\sigma$ is doubled, the width of the confidence interval for the population mean $\mu$ (the upper limit of the confidence interval — the lower limit of the confidence interval) will be


10. Confidence interval becomes narrow by increasing the


11. By decreasing the sample size, the confidence interval becomes


12. The distance between an estimate and the estimated parameter is called


13. $(1-\alpha)$ is called


14. Estimates given in the form of confidence intervals are called


15. A statistician calculates a 95% confidence interval for $\mu$ and $\sigma$ is known. The confidence interval is RS 18000 to RS 22000, the amount of the sample mean $\overline{X}$ 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.


Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

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