MCQOPTIONS
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MCQOPTIONS
This section includes 34 Mcqs, each offering curated multiple-choice questions to sharpen your Statistics Mcqs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
For a population with any distribution, the form of the sampling distribution of the sample mean is_____________? |
| A. | Sometimes normal for all sample sizes |
| B. | Sometimes normal for large sample sizes |
| C. | Always normal for all sample sizes |
| D. | Always normal for large sample sizes |
| Answer» E. | |
| 2. |
For a population consisting of 4 members, a sample of size ‘2’ is taken replacement, then the number of all the possible samples are? |
| A. | 4 |
| B. | 8 |
| C. | 16 |
| D. | 32 |
| Answer» D. 32 | |
| 3. |
A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately ? |
| A. | Normal because is always approximately normally distributed |
| B. | Normal because the sample size is small in comparison to the population size |
| C. | Normal because of the central limit theorem |
| D. | None of these alternatives is correct. |
| Answer» D. None of these alternatives is correct. | |
| 4. |
The standard deviation of sampling distribution of a statistics is _________________? |
| A. | Standard error of statistics |
| B. | Sampling error of statistics |
| C. | Sampling distribution of statistics |
| D. | None of these |
| Answer» B. Sampling error of statistics | |
| 5. |
The process of dividing a heterogeneous_____________? |
| A. | Random digit |
| B. | Stratification |
| C. | Random Sampling |
| D. | Cluster |
| Answer» C. Random Sampling | |
| 6. |
Convenience sampling is an example of______________? |
| A. | Probabilistic sampling |
| B. | Stratified sampling |
| C. | No probabilistic sampling |
| D. | Cluster sampling |
| Answer» D. Cluster sampling | |
| 7. |
To purchase the fruit, we use the _________ sampling? |
| A. | Systematic |
| B. | Cluster |
| C. | Stratified |
| D. | Judgment |
| Answer» E. | |
| 8. |
Non-random sampling is also called___________________? |
| A. | Biased sampling |
| B. | Non-prob.sampling |
| C. | Less than sampling |
| D. | Representative sampling |
| Answer» C. Less than sampling | |
| 9. |
A sampling distribution is the probability distribution for which one of the following___________? |
| A. | A sample |
| B. | A sample statistic |
| C. | A population |
| D. | A population parameter |
| Answer» C. A population | |
| 10. |
Selection of s by the students to solve a paper is _________________? |
| A. | Random sampling |
| B. | Non-random sampling |
| C. | Prob.Sampling |
| D. | Sampling with replacement |
| Answer» C. Prob.Sampling | |
| 11. |
Sampling error can reduced by __________________? |
| A. | Non-random sampling |
| B. | Increasing the population |
| C. | Decreasing the sample size |
| D. | Increasing the sample size |
| Answer» E. | |
| 12. |
The process of selecting sample from the population is called_________________? |
| A. | Sampling process |
| B. | Sampling unit |
| C. | Sampling |
| D. | Size |
| Answer» D. Size | |
| 13. |
Probability distribution of a statistics is called_________________? |
| A. | Sampling |
| B. | Parameter |
| C. | Data |
| D. | Sampling distribution |
| Answer» E. | |
| 14. |
If we increase the sample size, it means that it:_________________? |
| A. | Increases the Standard error |
| B. | Decreases the Standard error |
| C. | Decreases the Standard error |
| D. | Both (a) and (b) |
| Answer» E. | |
| 15. |
Non-sample errors are reduced by:________________? |
| A. | Increasing the sample size |
| B. | Reduced the amount of data |
| C. | Decreasing the sample standard deviation |
| D. | None of these |
| Answer» C. Decreasing the sample standard deviation | |
| 16. |
N – n/N -1 is called ___________ population? |
| A. | Group |
| B. | Finite |
| C. | Un-finite |
| D. | Correction |
| Answer» C. Un-finite | |
| 17. |
If in a sampling distribution of X the sample size is 25, what assumption must hold for the sampling distribution of X to be normal ? |
| A. | Population distribution is normal |
| B. | μ1 = μx |
| C. | Population distribution is uniform |
| D. | σx = σx /√n |
| Answer» B. μ1 = μx | |
| 18. |
In sampling with replacement be t a sampling unit can selected________________? |
| A. | Only once |
| B. | More than once |
| C. | Less than once |
| D. | None |
| Answer» C. Less than once | |
| 19. |
A list of sampling _________ is called sampling frame? |
| A. | Point |
| B. | w.r.m |
| C. | w.o.r |
| D. | unit |
| Answer» D. unit | |
| 20. |
Sampling errors are reduced by:___________________? |
| A. | Increasing the sample size |
| B. | Decreasing the sample size |
| C. | Increasing population s.d. |
| D. | None of these |
| Answer» B. Decreasing the sample size | |
| 21. |
The difference between statistics and parameter is called:______________? |
| A. | Bias |
| B. | Standard |
| C. | Sampling error |
| D. | both (a) and (b) |
| Answer» D. both (a) and (b) | |
| 22. |
Which of the following is impossible in sampling ? |
| A. | Destructive tests |
| B. | Heterogeneous data |
| C. | To make voters lists |
| D. | None of these |
| Answer» D. None of these | |
| 23. |
For making voters lists in Pakistan we need _______________? |
| A. | Simple random sampling |
| B. | Systematic sampling |
| C. | Quota sampling |
| D. | Census |
| Answer» E. | |
| 24. |
A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of is___________? |
| A. | Approximately normal because is always approximately normally distributed |
| B. | Approximately normal because the sample size is large in comparsion to the population size |
| C. | Approximately normal because of the central limit theorem |
| D. | Normal if the population is normally distributed |
| Answer» E. | |
| 25. |
The sampling error is the_____________? |
| A. | Same as the standard error of the mean |
| B. | Difference between the value of the sample mean and the value of the population mean |
| C. | Error caused by selecting a bad sample |
| D. | Standard deviation multiplied by the sample size |
| Answer» C. Error caused by selecting a bad sample | |
| 26. |
Random samples of size 17 are from a population that has 200 elements, a mean of 36, and a standard deviation of 8. which of the following best describes the from of the sampling distribution of the sample mean for this situation ? |
| A. | Approximately normal because the sample size is small relative to the population size |
| B. | Approximately normal because of the central limit theorem |
| C. | Exactly |
| D. | None of these alternatives is correct |
| Answer» E. | |
| 27. |
A sample estimate is used to describe a characteristic of a_____________? |
| A. | Sample |
| B. | Data |
| C. | Population |
| D. | None |
| Answer» B. Data | |
| 28. |
In w.o.r 2σx=_____________________? |
| A. | 26/√n√N – n/N – 1 |
| B. | σ/√n√N – n/N – 1 |
| C. | 26/√n N – n/N – 1 |
| D. | 26/√n |
| Answer» D. 26/√n | |
| 29. |
If the sampled population has a normal distribution, when is the sampling distribution of the sample mean X also a normal distribution ? |
| A. | Only when the sample size is at least 100. |
| B. | Only when the sample size is smaller than 30 |
| C. | Always |
| D. | Only when the sample size is at least 30. |
| Answer» D. Only when the sample size is at least 30. | |
| 30. |
The smallest individuals which constitute the entire population are called __________________? |
| A. | Sampling frame |
| B. | Sampling units |
| C. | Sample pop |
| D. | Sample design |
| Answer» C. Sample pop | |
| 31. |
There are ____________ probability sampling? |
| A. | Four |
| B. | Six |
| C. | Three |
| D. | Seven |
| Answer» B. Six | |
| 32. |
In probability sampling each sampling unit has some____________________? |
| A. | Unknown |
| B. | Large |
| C. | Small |
| D. | Know |
| Answer» E. | |
| 33. |
Standard deviation of the sampling distribution of a statistics is called_____________? |
| A. | Serious error |
| B. | Dispersion |
| C. | Standard error |
| D. | Difference |
| Answer» D. Difference | |
| 34. |
In the sampling without replacement a sampling unit can be selected_______________? |
| A. | Only Once |
| B. | More than once |
| C. | Less than once |
| D. | None of these |
| Answer» B. More than once | |