Basic Statistics and Data Analysis

Statistics Lecture Notes, Online MCQs

Author: Muhammad Imdad Ullah

Estimate and Estimation

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MCQs Estimation Quiz 7

MCQs from Statistical Inference cover 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 estimation quiz MCQs will help the learner to understand the related concepts and enhance the knowledge too.

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 with the MCQs quiz of estimation with answers.

Online MCQs Estimation Test

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

 
 
 
 

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

 
 
 
 

3. t-distribution is used when

 
 
 
 

4. 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:

 
 
 
 

5. In applying t-test

 
 
 
 

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

 
 
 
 

7. A large sample contains more than

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

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.

MCQS Estimation Quiz

Miscellaneous Articles

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Job Interview: Recently Asked Questions

Following are different Job Interview questions asked in interviews related to Jobs of Statistical Officer, Data Analysts, Lecturer in Statistics, Enumerator, etc. These questions are also useful for job interviews related to different disciplines.

  1. Job Description of an SO (Statistical Officer)?
  2. What types of data are collected by PBS (Pakistan Beaurea of Statistics)?
  3. What is the role of the Chief Statistician?
  4. How the reliability of data is checked by the SO in the field?
  5. Problems, faced during the survey?
  6. What is Electoral Sampling?
  7. What is Price Data Collection?
  8. What are the methods for Price Data collection?
  9. What is GDP?
  10. What is GNP?
  11. How many Census has been there in Pakistan?
  12. Difference between Classification and Tabulation.
  13. What is the difference between Error and Mistake?
  14. What is Reliability?
  15. What are the Steps of Data Analysis?
  16. Types of Sampling?
  17. Difference between a Diagram and Graph?
  18. Difference between a Graph and a Chart?
  19. Popular Surveys of Pakistan?
  20. Problems of Surveys?
  21. Difference between Census and Sample Survey?
  22. What is Population Census Organization (PCO)?
  23. Which surveys are being done by the PBS?
  24. Difference between Enumeration and Census?
  25. Why do we use FPC in Sampling without replacement?
  26. Elaborate on the difference between SPSS, Minitab, and E-views.
  27. What is the Path Analysis?
  28. What is the Variable Constraint?
  29. Difference between Main Effect and Interaction Effect?
  30. What is the Cooked Data?
  31. What is the difference between Correlation and Covariance?
  32. Which is a type of sampling used for Career counseling?
  33. The unemployment rate of Pakistan?
  34. What is cloud sourcing…related to data collection?
  35. What was the previous name of PBS?
  36. When did this PBS come into being? Under which law?
  37. Who was the last Mughal Emperor?
  38. What is the Shimla Agreement?
  39. SIM stands for what?
  40. ATM stands for what?
  41. Poverty and Employment rates.
  42. What is Inflation?
  43. What is a Stock Market?
  44. Constitutions of Pakistan with dates of approval?
  45. What is a Corporate Sector?
  46. What are KIBOR and LIBOR?
  47. Last agriculture census?
  48. Who is the Secretary of Planning & Development?
  49. History of the Mughal Empire?
  50. Difference between Fiscal and Monitory Policy?
  51. No. of countries enlisted in the United Nations?
  52. What does the Constitution of Pakistan say about the census?
  53. What was Tehreek-e-Pakistan? Who were its members?
  54. Why did Quad-i-Azam leave the Congress?
  55. The 14 points of the Quaid?
  56. Who is the Minister of Planning?
  57. What was Sindh-Taas Agreement?
  58. What is the American-Iranian issue?
  59. What is the Invariance Property?
  60. What is COVID19?
  61. What is the 18th amendment of the Constitution of Pakistan?
  62. How can you define extreme poverty?

You can answer and ask more questions in the comment section related to the job interview.

Basic Statistics

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MCQs Basic Statistics 12

This quiz contains MCQs about Basic Statistics with answers covering variable and type of variable, Measure of central tendency such as mean, median, mode, Weighted mean, data and type of data, sources of data, Measure of Dispersion/ Variation, Standard Deviation, Variance, Range, etc. Let us start the MCQs Basic Statistics Quiz.

Please go to MCQs Basic Statistics 12 to view the test

If you Found that the any POSTED MCQ is/ are WRONG
PLEASE COMMENT below the MCQ with the CORRECT ANSWER and its DETAILED EXPLANATION.

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Basic statistics deals with the measure of central tendencies (such as mean, median, mode, weighted mean, geometric mean, and Harmonic mean) and measure of dispersion (such as range, standard deviation, and variances).

Basic statistical methods include planning and designing the study, collecting data, arranging, and numerical and graphically summarizing the collected data.

Basic statistics are also used to perform statistical analysis to draw meaningful inferences.

Basoc Statistics

A basic visual inspection of data using some graphical and numerical statistics may give some useful hidden information already available in the data. The graphical representation includes a bar chart, pie chart, dot chart, box plot, etc.

Companies related to finance, communication, manufacturing, charity organizations, government institutes, simple to large businesses, etc. are all examples that have a massive interest in collecting data and measuring different sorts of statistical findings. This helps them to learn from the past, noticing the trends, and planning for the future.

Estimate and Estimation

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MCQs Chi-Square Association

This post is about MCQs on Chi-Square Association.
The relationship/ Dependency between the attributes is called association and the measure of degrees of relationship between the attributes is called the coefficient of association. The Chi-Square Statistic is used to test the association between the attributes. The Chi-Square Association is defined as

$$\chi^2 = \sum \frac{(of_i – ef_i)^2}{ef_i}\sim \chi^2_{v},$$

where $v$ denotes the degrees of freedom

The following is the MCQs Chi-Square Association Test

Please go to MCQs Chi-Square Association to view the test

Attributes are said to be independent if there is no association between them. Independence means the presence or absence of one attribute does not affect the other. The association is positive if the observed frequency of attributes is greater than the expected frequency and negative association or disassociation (negative association) is if the observed frequency is less than the expected frequency.

MCQs Chi-Square Association

Perform another Non-Parametric Test: MCQs Non-Parametric