Statistics & Applications

Inferential

Medium

applied

Match List-I with List-II

List-I List-II
(A) An observed set of population selected for analysis (I) Parameter
(B) A specific characteristic of the population (II) Hypothesis
(C) A specific characteristic of the sample (III) Statistic
(D) A statement made about a population parameter for testing (IV) Sample

Choose the correct answer from the options given below:

List-I	List-II
(A) An observed set of population selected for analysis	(I) Parameter
(B) A specific characteristic of the population	(II) Hypothesis
(C) A specific characteristic of the sample	(III) Statistic
(D) A statement made about a population parameter for testing	(IV) Sample

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

(A) - (IV), (B) - (I), (C) - (III), (D) - (II)

✅ Correct Option: 4

Sample (IV): A portion or subset of the population that is observed and studied

Parameter (I): A numerical value that describes the entire population

Statistic (III): A numerical value that describes only the sample

Hypothesis (II): A statement or claim made about the population that is tested

(A) An observed set of population selected for analysis → (IV) Sample

When a group is selected from the whole population to study, that selected group is called a sample.

Example: To know the favorite subject of all high school students in a city (population), surveying 200 students gives the sample.

(B) A specific characteristic of the population → (I) Parameter

Any measurement or characteristic of the entire population is a parameter.

Example: The actual average score of all students in a state is a parameter.

Any measurement or characteristic of the sample is a statistic.

Example: The average score of the 200 students surveyed is a statistic.

(D) A statement made about a population parameter for testing → (II) Hypothesis

A claim about the population that is proved or disproved is a hypothesis.

Example: "The average study time of students is 3 hours per day" is a hypothesis that can be tested.

Final Matching:

(A) → (IV)

(B) → (I)

(D) → (II)

Correct Answer: Option 4

2025: 27 May Shift 1

Consider the following hypothesis test.

$H_0: \mu \leq 12$

$H_a: \mu > 12$

If a sample of 25 is taken with sample mean 15 and a sample standard deviation of 6, then the value of t-test statistic is:

2025: 22 May Shift 2

Rajesh calculated 95% confidence level. What does he mean by that?

(A) He can be 95% confident that his sample will include the population parameter.

(B) He can be 95% confused that his sample will include the population parameter.

(D) He can be 5% confident that his sample will include the population parameter.

Choose the correct answer from the options given below:

2026: 22 May Shift 2

A sample of 100 LED TVs is taken at random. Out of 100 we found 35 TVs are of Sony, 50 are of LG and 15 are of Samsung. The point estimate of population proportion of LG is

2026: 19 May Shift 2

Match the LIST-I with LIST-II

	LIST-I Criteria		LIST-II Types of biasness
A.	When individual has choice to choose to participate.	I.	Convenience
B.	If sample gives less representation of the sample.	II.	Response bias
C.	When a sample is taken from individual that are conveniently available.	III.	Voluntary response bias
D.	Anything in a survey that influence responses.	IV.	Undercover

Choose the correct answer from the options given below:

2025: 3 June Shift 2

Which of the following statements are TRUE?

(A) The variable t of t-distribution ranges from $-\infty$ to $\infty$ .

(B) The probability curve of the t-distribution is symmetric about the line $t=0$

(D) As the number of degrees of freedom decreases, the t-distribution curve moves closer to the standard normal probability curve.

Choose the correct answer from the options given below:

2026: 31 May Shift 2

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	The measurable characteristic of a population is called	I. Statistic
B.	The measurable characteristic of a sample is called	II. Sample size
C.	The number of objects in a sample is called	III. Null hypothesis
D.	A tentative assumption about population	IV. Parameter

Choose the correct answer from the options given below:

Solution

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