Statistics & Applications

Inferential

Medium

applied

With reference to sampling, which of the following are correct?

(A) Simple random sampling is probability sampling

(B) Snow-ball sampling is non-probability sampling

(C) Stratified sampling is probability sampling

(D) Cluster sampling is non-probability sampling

Choose the correct answer from the options given below:

(A), (B) and (C) only

(B), (C) and (D) only

(D) and (C) only

✅ Correct Option: 1

Probability sampling means everyone in the population has a known chance of being selected through random selection methods. Non-probability sampling means selection is not random, and some people have no chance or unknown chance of being selected.

Simple random sampling gives everyone an equal chance of being picked, like picking names from a hat. This is probability sampling because selection is random and fair.

Statement (A) is correct.

Snowball sampling works by finding one person who refers their contacts, who then refer more people. This method is used when it's hard to find participants. Not everyone has a chance to be selected - only people who know someone already in the study.

Statement (B) is correct.

Stratified sampling divides the population into groups (strata), then randomly selects people from each group. Random selection is used within each group, making this probability sampling.

Statement (C) is correct.

Cluster sampling divides the population into clusters, then randomly selects entire clusters to study. Random selection is used to pick clusters, making this probability sampling, not non-probability sampling.

Statement (D) is incorrect.

Statements (A), (B) and (C) are correct.

Statement (D) is incorrect because cluster sampling is probability sampling.

The correct answer is: (A), (B) and (C) only

2025: 3 June Shift 2

The following data are from a random sample: 5,8,10,7,10,14, then the point estimate of the population standard deviation is

2026: 18 May Shift 1

Consider the following hypothesis test:

$H_0: \mu \leq 25$

$H_a: \mu > 25$

A sample of 25 provided a sample mean of 27.80. The population standard deviation is 5, then the value of the test statistic is

2025: 15 May Shift 1

Which of the following is not correct about the Central Limit Theorem?

2025: 30 May Shift 2

In reference to Inferential Statistics, if $\bar{x}$ is a sample mean of random data $\{x_i\}_{i=1}^n$ and $n$ is the sample size, then the formula $\frac{1}{n-1}\sum_{i=0}^n(x_i - \bar{x})^2$ represents

2026: 12 May Shift 2

Match List-I with List-II

List-I (Types of Probability Sampling)	List-II (Characteristic)
(A) Simple random sampling	(I) Every member of the population is arranged in a particular order. The first member is selected at random and then the remaining members are selected at regular intervals.
(B) Systematic sampling	(II) The population is divided into subgroups and each subgroup has similar characteristics of the whole population.
(C) Stratified sampling	(III) Every member of the population has an equal chance of being selected.
(D) Cluster Sampling	(IV) The population is divided into subgroups based on the relevant characteristics

Choose the correct answer from the options given below:

2026: 22 May Shift 2

The sampling distribution of the sample mean approaches a normal distribution as the sample size gets larger, no matter what is the shape of the population distribution.

The above statement is:

Solution

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