Question:

Which of the following CORRECTLY defines the relationship between the variances of sample means for simple random samples drawn with and without replacement from a normal population?

IIT JAM EN - 2022
IIT JAM EN

Updated On: Oct 1, 2024

$\frac{\sigma^2}{n}\gt\frac{\sigma^2}{n}(\frac{N-n}{N-1})$
$\frac{\sigma^2}{n}\le\frac{\sigma^2}{n}(\frac{N-n}{N-1})$
$\frac{\sigma^2}{n}\lt\frac{\sigma^2}{n}(\frac{N-n}{N-1})$
$\frac{\sigma^2}{n}=\frac{\sigma^2}{n}(\frac{N-n}{N-1})$

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The Correct Option is A

Solution and Explanation

The correct option is (A):

\frac{\sigma^2}{n}\gt\frac{\sigma^2}{n}(\frac{N-n}{N-1})

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Which of the following CORRECTLY defines the relationship between the variances of sample means for simple random samples drawn with and without replacement from a normal population?

The Correct Option is A

Solution and Explanation

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