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# PPT - Sampling Theory (Part - 3) CA Foundation Notes | EduRev

## CA Foundation : PPT - Sampling Theory (Part - 3) CA Foundation Notes | EduRev

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CPT Section D Quantitative Aptitude Chapter 15
Prof. Bharat Koshti
Page 2

CPT Section D Quantitative Aptitude Chapter 15
Prof. Bharat Koshti
Theory of estimation :
It deals with estimating unknown values of the Population
parameters.
There are two types of estimation techniques :
1.Point Estimation
2. Interval Estimation
1. Point Estimation: When a single value is proposed to
estimate, it is called as Point estimation.
Page 3

CPT Section D Quantitative Aptitude Chapter 15
Prof. Bharat Koshti
Theory of estimation :
It deals with estimating unknown values of the Population
parameters.
There are two types of estimation techniques :
1.Point Estimation
2. Interval Estimation
1. Point Estimation: When a single value is proposed to
estimate, it is called as Point estimation.
1. Suppose the unknown parameter is ?.
(e.g. ? = Population Mean)
2. We take a sample of size ‘n’ from the population of
size ‘N’ at random. So we get sample observations
( x
1
, x
2
, x
3
,  ……………… x
n
)
3. Now based on these sample observations we
construct statistic T (e.g. Sample Mean) which will estimate ?
Page 4

CPT Section D Quantitative Aptitude Chapter 15
Prof. Bharat Koshti
Theory of estimation :
It deals with estimating unknown values of the Population
parameters.
There are two types of estimation techniques :
1.Point Estimation
2. Interval Estimation
1. Point Estimation: When a single value is proposed to
estimate, it is called as Point estimation.
1. Suppose the unknown parameter is ?.
(e.g. ? = Population Mean)
2. We take a sample of size ‘n’ from the population of
size ‘N’ at random. So we get sample observations
( x
1
, x
2
, x
3
,  ……………… x
n
)
3. Now based on these sample observations we
construct statistic T (e.g. Sample Mean) which will estimate ?
T is a single value obtained from the sample &
is known as point estimator.
The point estimator of Population Mean(µ),
Population Standard Deviation(s) & Population
Proportion(P) are the corresponding sample
Mean(x¯),Sample Standard Deviation(s) &
Sample Proportion(p).
Page 5

CPT Section D Quantitative Aptitude Chapter 15
Prof. Bharat Koshti
Theory of estimation :
It deals with estimating unknown values of the Population
parameters.
There are two types of estimation techniques :
1.Point Estimation
2. Interval Estimation
1. Point Estimation: When a single value is proposed to
estimate, it is called as Point estimation.
1. Suppose the unknown parameter is ?.
(e.g. ? = Population Mean)
2. We take a sample of size ‘n’ from the population of
size ‘N’ at random. So we get sample observations
( x
1
, x
2
, x
3
,  ……………… x
n
)
3. Now based on these sample observations we
construct statistic T (e.g. Sample Mean) which will estimate ?
T is a single value obtained from the sample &
is known as point estimator.
The point estimator of Population Mean(µ),
Population Standard Deviation(s) & Population
Proportion(P) are the corresponding sample
Mean(x¯),Sample Standard Deviation(s) &
Sample Proportion(p).
Ex1. Consider sample observations
14,15,6,17,28  from population of 100 units. Find
an estimate of population mean.
Estimate of µ is given by X¯
X¯ = (14+15+6+17+28)/5
X¯ = 16
Hence, estimate of µ is 16.
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