Sampling, Applied Statistics

Assignment Help:

Sampling

Population is a collection of all the data points being studied. For example, if we are studying the annual incomes of all the people in India, then the population under study would consist of data points representing the incomes of each and every person in India.

Sample is a part of a population.

In the above example the following would be some possible samples:

  1. The annual incomes of all the people in Mumbai.

  2. The annual incomes of all the people in India over forty years of age.

  3. Your own annual income (assuming you are in India).

  4. The annual incomes of the first hundred people mentioned in your telephone directory.

Samples, being smaller in size than their population, are easier to study. Hence, if we want to draw some conclusions about a population, we can do so by studying a suitable sample of the population.

Example 

In which of the following cases do the samples appear to be suitable for arriving at conclusions about the corresponding populations?

1.

Population

:

Annual income of every person in India.

 

Sample

:

Annual income of randomly selected persons in Mumbai.

 

Answer

:

Not a representative sample because it is Mumbai.

2.

Population

:

Likely customers for an exclusive credit card scheme.

 

Sample

:

Regular commuters on public transport buses.

 

Answer

:

May not be a representative sample because regular commuters on public transport buses may not be in the income range high enough to support an exclusive credit card holding.

The following notations are used to denote population parameters and sample statistics.

 

Population

Sample

Characteristic

Parameter

Statistic

Size

Mean

Standard Deviation

Proportion

N

  μ

  σ

p

n

  1126_computation of covariance ungrouped data2.png

S

  388_sampling.png


Related Discussions:- Sampling

Techniques, Q. 1 a) Describe the important quantitative techniques used in ...

Q. 1 a) Describe the important quantitative techniques used in public system management. (10) b) Do you think the day will come when all decisions are made with the assistance of

Graphical calculation for mode, For calculating the mode of the grouped dat...

For calculating the mode of the grouped data graphically, the following procedure is adopted. Draw a histogram of the data; the modal class is the tallest rectangle.

Regression analysis, Meaning and Definitions of Regression The dictiona...

Meaning and Definitions of Regression The dictionary meaning of regression is just opposite the meaning of progression. Progression means to move forward while regression means

HLT 362, What is an interaction? Describe an example and identify the varia...

What is an interaction? Describe an example and identify the variables within your population (work, social, academic, etc.) for which you might expect interactions?

Vital statistics, How vital statistics are affects on our human life

How vital statistics are affects on our human life

STATISTICS, Ask 3. Precision Manufacturing has a government contract to pro...

Ask 3. Precision Manufacturing has a government contract to produce stainless steel rods for use in military aircraft. Each rod is required to be 20 millimeters in diameter. Each

Business forecasting, Meaning and Definitions of Business Forecasting T...

Meaning and Definitions of Business Forecasting The problem of business  forecasting  refers to the  analysis  of the past and  present economic  conditions. With  the objectiv

Philosophy, what is the aim of statistics?

what is the aim of statistics?

Modified distribution mathod, a b c d e supply p 3 4 6 8 8 20 q 2 6 0 5 8...

a b c d e supply p 3 4 6 8 8 20 q 2 6 0 5 8 30 r 7 11 20 40 3 15 s 1 0 9 14 6 13 d 15 3 12 10 20

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd