Question

Match List-I (Sample Statistics) with List-II (Population Parameters): 

List-I (Sample Statistics)	List-II (Population Parameters)
A. Sample Mean (\(\bar{x}\))	I. Population Mean (\(\mu\))
B. Sample Variance (\(s^2\))	II. Population Variance (\(\sigma^2\))
C. Sample Standard Deviation (\(s\))	III. Population Standard Deviation (\(\sigma\))
D. Sample Proportion (\(\hat{p}\))	IV. Population Proportion (\(p\))

• A. A-II, B-I, C-III, D-IV
• B. A-II, B-III, C-IV, D-I
• C. A-I, B-II, C-III, D-IV
• D. A-III, B-IV, C-I, D-II

Hint:

Sample statistics usually use symbols like \(\bar{x}\), \(s\), and \(\hat{p}\), while population parameters use symbols like \(\mu\), \(\sigma\), and \(p\).

Answer 1

The Correct Option is B

Concept:
A sample statistic is calculated from sample data, while a population parameter describes the whole population.

Step 1: Understand sample mean and population mean.
Sample mean is generally denoted by: \[ \bar{x} \] Population mean is denoted by: \[ \mu \]

Step 2: Understand sample proportion and population proportion.
Sample proportion is denoted by: \[ \hat{p} \] Population proportion is denoted by: \[ p \]

Step 3: Understand sample standard deviation and population standard deviation.
Sample standard deviation is denoted by: \[ s \] Population standard deviation is denoted by: \[ \sigma \]

Step 4: Match corresponding symbols.
Each sample statistic is matched with its corresponding population parameter. \[ \therefore \text{Correct Answer is (B)} \]