Question
Download Solution PDFA random sample of size n is drawn from a population of size N by SRSWOR method. Then the standard error of sample mean will be zero if n is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation
The error arising out due to drawing inference about the population on the basis of few observations(sampling) is termed sampling error. Such errors are non existent in complete enumeration survey.
∴ The standard error of the sample mean will be zero if n is N
Simple random sampling = It is a sampling technique where every item in the population has an even chance and likelihood of being selected in the sample
In it selection of items completely depends on chance or by probability and each item has equal chance to be selected
It is also known as method of chances
The simple random sampling with replacement = It is called SRSWR, in it a unit is selected from the sampling fram E. The unit is replaced back and the next unit is selected. This process is repeated till a sample of the desired size is selected.
When n units are selected with SRSWR, the total number of possible samples are Nn
The probability of drawing a sample is 1/Nn.
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