Basic Statistics and Data Analysis

Statistics Lecture Notes, Online MCQs

Tagged: MCQs Statistics

Estimate and Estimation

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MCQs Estimation 6

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 Quiz will help the learner to understand the related concepts and enhance the knowledge too.

1. If the sample average $\overline{x}$ is an estimate of the population mean $\mu$, then $\overline{x}$ is:

 
 
 
 

2. If $\alpha=0.10$ and $n=15$ then $t_{\frac{\alpha}{2}}$ will be

 
 
 
 

3. Sample median as an estimator of the population mean is always

 
 
 
 

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

 
 
 
 

5. Crammer-Rao inequality is valid in the case of:

 
 
 
 

6. An estimator $T_n$ is said to be a sufficient statistic for a parameter function $\tau(\theta)$ if it contained all the information which is contained in the:

 
 
 
 

7. For an estimator to be consistent, the unbiasedness of the estimator is

 
 
 
 

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

 
 
 
 

9. By the method of moments one can estimate:

 
 
 
 

10. Roa-Blackwell Theorem enables us to obtain minimum variance unbiased estimator through:

 
 
 
 

11. A quantity obtained by applying a certain rule or formula is known as

 
 
 
 

12. If $n_1=16$, $n_2=9$ and $\alpha=0.01$, then $t_{\frac{\alpha}{2}}$ will be

 
 
 
 


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.

Estimation

Chart and Graphics

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MCQs Charts and Graphs 2

This MCQs Charts and Graphs quiz contains questions from different topics related to graphical Presentation of data in statistics MCQs which include, Histogram, Frequency distribution (Relative frequency distribution, Cumulative Frequency distribution),  Bar chart, Pie chart, Line graph, scatter diagram, etc.

Please go to MCQs Charts and Graphs 2 to view the test

Let start checking your knowledge about the charts and graphs quiz.

Graphs and charts are common methods to get a visual inspection of data. Graphs and charts are the graphical summaries of the data. Graphs represent diagrams of a mathematical or statistical function, while a chart is a graphical representation of the data. In the charts, the data is represented by symbols.

The most commonly used graphs and charts are bar charts, histograms, pie charts, line graphs. Graphs are used to get quick ideas and decisions about phenomena under study. Generally, graphs and charts are used to get the distribution of data. However, different graphs and charts are used to get quite different information.

For example, line graphs are used to get ideas about changes over short/long periods of time. Bar graphs and their further types (cluster bar graph, stacked bar graph) are used to compare the differences among the groups. Pie charts are used to get the proportional contribution of each group in relation to as a whole.

charts and graphs

The important features of graphs and charts are (1) Title: the title of charts and graphs tells us what the subject of the chart or graph is, (2) Vertical Axis: the vertical axis tells us what is being measured in the chart and a graph, and (3) Horizontal Axis: the horizontal axis tells us the units of measurement represented.

There is various mathematical and statistical software that can be used to draw charts and graphs. For example, MS-Excel, Minitab, SPSS, SAS, STATA, Graph Maker, Matlab, Mathematica, R, Exlstat, Python, and Maple, etc.

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